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    LCM for 84 and 60

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 84 and 60?

    Answer

    LCM of 84 and 60 is
    420

    (Four hundred twenty)

    Finding LCM for 84 and 60 using GCF of these numbers

    The first method to find LCM for numbers 84 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 84 and 60 is 12, so

    LCM = (84 × 60) ÷ 12

    LCM = 5,040 ÷ 12

    LCM = 420

    Finding LCM for 84 and 60 by Listing Multiples

    The second method to find LCM for numbers 84 and 60 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 60: 60, 120, 180, 240, 300, 360, 420, 480, 540

    So the LCM for 84 and 60 is 420

    Finding LCM for 84 and 60 by Prime Factorization

    Another method to find LCM for numbers 84 and 60 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 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

    22 × 31 × 71 × 51 = 420

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    What is the LCM of 84 and 60?. The LCM of 84 and 60 is 420 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    84451,260
    84461,932
    84473,948
    8448336
    8449588
    84502,100
    84511,428
    84521,092
    84534,452
    8454756
    84554,620
    8456168
    84571,596
    84582,436
    84594,956
    8460420
    84615,124
    84622,604
    8463252
    84641,344
    84655,460
    8466924
    84675,628
    84681,428
    84691,932
    8470420
    84715,964
    8472504
    84736,132
    84743,108

    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 60? (The answer is: 420). Select the first number (e.g. '84') and the second number (e.g. '60'). 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 60?

    LCM of 84 and 60 is 420

    How to find the LCM of 84 and 60 using prime factorization?

    To find the LCM of 84 and 60, 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 60: LCM = 420, GCF = 12.

    See Also