What Is the Least Common Multiple of 15 and 12?

Author Donald Gianassi

Posted Jul 31, 2022

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The least common multiple (LCM) of 15 and 12 is the smallest number that is a multiple of both 15 and 12. LCM(15,12) = 60.

The least common multiple is important in mathematics because it is a way to measure the size of a set of numbers. For example, the LCM of 12 and 15 is 60. This means that the set of numbers {12, 15} is equivalent to the set of numbers {60}. In other words, the LCM of 12 and 15 is a way to measure the "size" of the set {12, 15}.

The LCM is also important in other fields, such as chemistry and engineering. In chemistry, the LCM is used to determine the smallest possible quantity of a chemical compound that can be made. In engineering, the LCM is used to determine the smallest possible measurement that can be made.

The LCM is also used in some areas of computer science, such as in the analysis of algorithms. In the analysis of algorithms, the LCM is used to determine the amount of time it takes for an algorithm to run. The LCM is also used to determine the amount of memory an algorithm needs.

What is the smallest number that is a multiple of both 15 and 12?

The smallest number that is a multiple of both 15 and 12 is 60. 60 is a multiple of 15 because it is evenly divisible by 15 with no remainder. 60 is also a multiple of 12 because it is evenly divisible by 12 with no remainder. Multiples of 15 and 12 are also called common multiples. The common multiple of 15 and 12 that is smallest is 60. Other common multiples of 15 and 12 include 120, 240, 360, 420, and 480.

What is the LCM of 15 and 12?

The least common multiple (LCM) of 15 and 12 is 60.

To find the LCM of 15 and 12, we can use the fact that the LCM is the smallest positive integer that is divisible by both 15 and 12. In other words, the LCM is the smallest positive integer that is a multiple of both 15 and 12.

We can find the LCM of 15 and 12 by listing the first few multiples of 15 and 12 and finding the smallest number that is common to both lists.

The first few multiples of 15 are 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735, 750, 765, 780, 795, 810, 825, 840, 855, 870, 885, 900, 915, 930, 945, 960, 975, 990, 1005, 1020, 1035, 1050, 1065, 1080, 1095, 1110, 1125, 1140, 1155, 1170, 1185, 1200, 1215, 1230, 1245, 1260, 1275, 1290, 1305, 1320, 1335, 1350, 1365, 1380, 1395, 1410, 1425, 1440, 1455, 1470, 1485, 1500, 1515, 1530, 1545, 1560, 1575, 1590, 1605, 1620, 1635, 1650, 1665, 1680, 1695, 1710, 1725, 1740, 1755, 1770, 1785, 1800, 1815, 1830, 1845, 1860, 1875, 1890, 1905, 1920, 1935, 1950, 1965, 1980, 1995, 2010, 2025, 2040, 2055, 2070, 2085, 2100, 2115, 2130, 2145, 2160, 2175, 2190, 2205, 2220, 2

Frequently Asked Questions

What is the least common multiple of 12?

There is only one least common multiple of 12, which is 24.

What is the LCM of 10 12 15 15 75?

LCM = 300

How to find least common multiple of 12 and 15?

To find the LCM of 12 and 15, we will use the GCF formula. GCF (12,15) = 120

What is the LCM of 12 and 15 in exponential form?

The LCM or least common multiple of 12 and 15 is 60.

What is the least common multiple of 8 and 12?

The least common multiple of 8 and 12 is 16.

Donald Gianassi

Donald Gianassi

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Donald Gianassi is a renowned author and journalist based in San Francisco. He has been writing articles for several years, covering a wide range of topics from politics to health to lifestyle. Known for his engaging writing style and insightful commentary, he has earned the respect of both his peers and readers alike.

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