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    LCM for 84 and 105

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 84 and 105?

    Answer

    LCM of 84 and 105 is
    420

    (Four hundred twenty)

    Finding LCM for 84 and 105 using GCF of these numbers

    The first method to find LCM for numbers 84 and 105 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 84 and 105 is 21, so

    LCM = (84 × 105) ÷ 21

    LCM = 8820 ÷ 21

    LCM = 420

    Finding LCM for 84 and 105 by Listing Multiples

    The second method to find LCM for numbers 84 and 105 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

    Multiples of 105: 105, 210, 315, 420, 525, 630

    So the LCM for 84 and 105 is 420

    Finding LCM for 84 and 105 by Prime Factorization

    Another method to find LCM for numbers 84 and 105 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 105: 3, 5, 7 (exponent form: 31, 51, 71)

    22 × 31 × 71 × 51 = 420

    Related Calculations

    See Also

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    What is the LCM of 84 and 105?. The LCM of 84 and 105 is 420 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    84901260
    84911092
    84921932
    84932604
    84943948
    84957980
    8496672
    84978148
    8498588
    84992772
    841002100
    841018484
    841021428
    841038652
    841042184
    84105420
    841064452
    841078988
    84108756
    841099156
    841104620
    841113108
    84112336
    841139492
    841141596
    841159660
    841162436
    841173276
    841184956
    841191428

    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 105? (The answer is: 420). Select the first number (e.g. '84') and the second number (e.g. '105'). 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 105?

    LCM of 84 and 105 is 420

    How to find the LCM of 84 and 105 using prime factorization?

    To find the LCM of 84 and 105, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 420.

    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 105: LCM = 420, GCF = 21.

    See Also