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    LCM for 120 and 144

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 120 and 144?

    Answer

    LCM of 120 and 144 is
    720

    (Seven hundred twenty)

    Finding LCM for 120 and 144 using GCF of these numbers

    The first method to find LCM for numbers 120 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 120 and 144 is 24, so

    LCM = (120 × 144) ÷ 24

    LCM = 17,280 ÷ 24

    LCM = 720

    Finding LCM for 120 and 144 by Listing Multiples

    The second method to find LCM for numbers 120 and 144 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960

    Multiples of 144: 144, 288, 432, 576, 720, 864, 1,008

    So the LCM for 120 and 144 is 720

    Finding LCM for 120 and 144 by Prime Factorization

    Another method to find LCM for numbers 120 and 144 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

    All Prime Factors of 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)

    24 × 32 × 51 = 720

    See Also

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    What is the LCM of 120 and 144?. The LCM of 120 and 144 is 720 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1201295,160
    1201301,560
    12013115,720
    1201321,320
    12013315,960
    1201348,040
    1201351,080
    1201362,040
    12013716,440
    1201382,760
    12013916,680
    120140840
    1201415,640
    1201428,520
    12014317,160
    120144720
    1201453,480
    1201468,760
    1201475,880
    1201484,440
    12014917,880
    120150600
    12015118,120
    1201522,280
    1201536,120
    1201549,240
    1201553,720
    1201561,560
    12015718,840
    1201589,480

    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 120 and 144? (The answer is: 720). Select the first number (e.g. '120') and the second number (e.g. '144'). 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 120 and 144?

    LCM of 120 and 144 is 720

    How to find the LCM of 120 and 144 using prime factorization?

    To find the LCM of 120 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 720.

    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 120 and 144: LCM = 720, GCF = 24.

    See Also