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    LCM for 120 and 168

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 120 and 168?

    Answer

    LCM of 120 and 168 is
    840

    (Eight hundred forty)

    Finding LCM for 120 and 168 using GCF of these numbers

    The first method to find LCM for numbers 120 and 168 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 120 and 168 is 24, so

    LCM = (120 × 168) ÷ 24

    LCM = 20,160 ÷ 24

    LCM = 840

    Finding LCM for 120 and 168 by Listing Multiples

    The second method to find LCM for numbers 120 and 168 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, 1,080

    Multiples of 168: 168, 336, 504, 672, 840, 1,008, 1,176

    So the LCM for 120 and 168 is 840

    Finding LCM for 120 and 168 by Prime Factorization

    Another method to find LCM for numbers 120 and 168 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 168: 2, 2, 2, 3, 7 (exponent form: 23, 31, 71)

    23 × 31 × 51 × 71 = 840

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    See Also

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    What is the LCM of 120 and 168?. The LCM of 120 and 168 is 840 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1201536,120
    1201549,240
    1201553,720
    1201561,560
    12015718,840
    1201589,480
    1201596,360
    120160480
    12016119,320
    1201623,240
    12016319,560
    1201644,920
    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

    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 168? (The answer is: 840). Select the first number (e.g. '120') and the second number (e.g. '168'). 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 168?

    LCM of 120 and 168 is 840

    How to find the LCM of 120 and 168 using prime factorization?

    To find the LCM of 120 and 168, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 840.

    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 168: LCM = 840, GCF = 24.

    See Also