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    LCM for 12 and 15

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 12 and 15?

    Answer

    LCM of 12 and 15 is
    60

    (Sixty)

    Finding LCM for 12 and 15 using GCF of these numbers

    The first method to find LCM for numbers 12 and 15 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 12 and 15 is 3, so

    LCM = (12 × 15) ÷ 3

    LCM = 180 ÷ 3

    LCM = 60

    Finding LCM for 12 and 15 by Listing Multiples

    The second method to find LCM for numbers 12 and 15 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 12: 12, 24, 36, 48, 60, 72, 84

    Multiples of 15: 15, 30, 45, 60, 75, 90

    So the LCM for 12 and 15 is 60

    Finding LCM for 12 and 15 by Prime Factorization

    Another method to find LCM for numbers 12 and 15 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 12: 2, 2, 3 (exponent form: 22, 31)

    All Prime Factors of 15: 3, 5 (exponent form: 31, 51)

    22 × 31 × 51 = 60

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    What is the LCM of 12 and 15?. The LCM of 12 and 15 is 60 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    12412
    12612
    12784
    12824
    12936
    121060
    1213156
    121484
    121560
    121648
    1217204
    121836
    1219228
    122060
    122184
    1222132
    1223276
    122424
    1225300
    1226156
    1227108
    122884
    1229348
    123060
    1231372
    123296
    1233132
    1235420
    123636
    1239156

    About "Least Common Multiple" Calculator

    This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 12 and 15? (The answer is: 60). Select the first number (e.g. '12') and the second number (e.g. '15'). After that hit the 'Calculate' button.
    Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    FAQ

    What's the Least Common Multiple (LCM) of 12 and 15?

    LCM of 12 and 15 is 60

    How to find the LCM of 12 and 15 using prime factorization?

    To find the LCM of 12 and 15, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 60.

    What is the difference between LCM and GCF?

    LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 12 and 15: LCM = 60, GCF = 3.

    See Also