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    LCM for 84 and 120

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 84 and 120?

    Answer

    LCM of 84 and 120 is
    840

    (Eight hundred forty)

    Finding LCM for 84 and 120 using GCF of these numbers

    The first method to find LCM for numbers 84 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 84 and 120 is 12, so

    LCM = (84 × 120) ÷ 12

    LCM = 10,080 ÷ 12

    LCM = 840

    Finding LCM for 84 and 120 by Listing Multiples

    The second method to find LCM for numbers 84 and 120 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 84: 84, 168, 252, 336, 420, 504, 588, 672, 756, 840, 924, 1,008

    Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1,080

    So the LCM for 84 and 120 is 840

    Finding LCM for 84 and 120 by Prime Factorization

    Another method to find LCM for numbers 84 and 120 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

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

    23 × 31 × 71 × 51 = 840

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    What is the LCM of 84 and 120?. The LCM of 84 and 120 is 840 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    84105420
    841064,452
    841078,988
    84108756
    841099,156
    841104,620
    841113,108
    84112336
    841139,492
    841141,596
    841159,660
    841162,436
    841173,276
    841184,956
    841191,428
    84120840
    8412110,164
    841225,124
    841233,444
    841242,604
    8412510,500
    84126252
    8412710,668
    841282,688
    841293,612
    841305,460
    8413111,004
    84132924
    841331,596
    841345,628

    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 84 and 120? (The answer is: 840). Select the first number (e.g. '84') 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 84 and 120?

    LCM of 84 and 120 is 840

    How to find the LCM of 84 and 120 using prime factorization?

    To find the LCM of 84 and 120, 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 84 and 120: LCM = 840, GCF = 12.

    See Also