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    LCM for 12 and 45

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 12 and 45?

    Answer

    LCM of 12 and 45 is
    180

    (One hundred eighty)

    Finding LCM for 12 and 45 using GCF of these numbers

    The first method to find LCM for numbers 12 and 45 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 12 and 45 is 3, so

    LCM = (12 × 45) ÷ 3

    LCM = 540 ÷ 3

    LCM = 180

    Finding LCM for 12 and 45 by Listing Multiples

    The second method to find LCM for numbers 12 and 45 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, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204

    Multiples of 45: 45, 90, 135, 180, 225, 270

    So the LCM for 12 and 45 is 180

    Finding LCM for 12 and 45 by Prime Factorization

    Another method to find LCM for numbers 12 and 45 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 45: 3, 3, 5 (exponent form: 32, 51)

    22 × 32 × 51 = 180

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    What is the LCM of 12 and 45?. The LCM of 12 and 45 is 180 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1219228
    122060
    122184
    1222132
    1223276
    122424
    1225300
    1226156
    1227108
    122884
    1229348
    123060
    1231372
    123296
    1233132
    1235420
    123636
    1239156
    1240120
    124284
    1244132
    1245180
    1246276
    124848
    1250300
    1252156
    1255660
    1257228
    1258348
    126060

    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 45? (The answer is: 180). Select the first number (e.g. '12') and the second number (e.g. '45'). 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 45?

    LCM of 12 and 45 is 180

    How to find the LCM of 12 and 45 using prime factorization?

    To find the LCM of 12 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 180.

    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 45: LCM = 180, GCF = 3.

    See Also