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    LCM for 120 and 180

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 120 and 180?

    Answer

    LCM of 120 and 180 is
    360

    (Three hundred sixty)

    Finding LCM for 120 and 180 using GCF of these numbers

    The first method to find LCM for numbers 120 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 120 and 180 is 60, so

    LCM = (120 × 180) ÷ 60

    LCM = 21,600 ÷ 60

    LCM = 360

    Finding LCM for 120 and 180 by Listing Multiples

    The second method to find LCM for numbers 120 and 180 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

    Multiples of 180: 180, 360, 540, 720

    So the LCM for 120 and 180 is 360

    Finding LCM for 120 and 180 by Prime Factorization

    Another method to find LCM for numbers 120 and 180 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 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

    23 × 32 × 51 = 360

    Related Calculations

    See Also

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    What is the LCM of 120 and 180?. The LCM of 120 and 180 is 360 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1201651,320
    1201669,960
    12016720,040
    120168840
    12016920,280
    1201702,040
    1201716,840
    1201725,160
    12017320,760
    1201743,480
    1201754,200
    1201762,640
    1201777,080
    12017810,680
    12017921,480
    120180360
    12018121,720
    12018210,920
    1201837,320
    1201842,760
    1201854,440
    1201863,720
    12018722,440
    1201885,640
    1201897,560
    1201902,280
    12019122,920
    120192960
    12019323,160
    12019411,640

    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 180? (The answer is: 360). Select the first number (e.g. '120') and the second number (e.g. '180'). 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 180?

    LCM of 120 and 180 is 360

    How to find the LCM of 120 and 180 using prime factorization?

    To find the LCM of 120 and 180, 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 120 and 180: LCM = 360, GCF = 60.

    See Also