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    LCM for 72 and 120

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 72 and 120?

    Answer

    LCM of 72 and 120 is
    360

    (Three hundred sixty)

    Finding LCM for 72 and 120 using GCF of these numbers

    The first method to find LCM for numbers 72 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 72 and 120 is 24, so

    LCM = (72 × 120) ÷ 24

    LCM = 8640 ÷ 24

    LCM = 360

    Finding LCM for 72 and 120 by Listing Multiples

    The second method to find LCM for numbers 72 and 120 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 72: 72, 144, 216, 288, 360, 432, 504

    Multiples of 120: 120, 240, 360, 480, 600

    So the LCM for 72 and 120 is 360

    Finding LCM for 72 and 120 by Prime Factorization

    Another method to find LCM for numbers 72 and 120 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

    All Prime Factors of 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

    23 × 32 × 51 = 360

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    What is the LCM of 72 and 120?. The LCM of 72 and 120 is 360 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    721052520
    721063816
    721077704
    72108216
    721097848
    721103960
    721112664
    721121008
    721138136
    721141368
    721158280
    721162088
    72117936
    721184248
    721198568
    72120360
    721218712
    721224392
    721232952
    721242232
    721259000
    72126504
    721279144
    721281152
    721293096
    721304680
    721319432
    72132792
    721339576
    721344824

    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 72 and 120? (The answer is: 360). Select the first number (e.g. '72') and the second number (e.g. '120'). 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 72 and 120?

    LCM of 72 and 120 is 360

    How to find the LCM of 72 and 120 using prime factorization?

    To find the LCM of 72 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 360.

    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 72 and 120: LCM = 360, GCF = 24.

    See Also