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    LCM for 68 and 84

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 68 and 84?

    Answer

    LCM of 68 and 84 is
    1,428

    (One thousand four hundred twenty-eight)

    Finding LCM for 68 and 84 using GCF of these numbers

    The first method to find LCM for numbers 68 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 68 and 84 is 4, so

    LCM = (68 × 84) ÷ 4

    LCM = 5,712 ÷ 4

    LCM = 1,428

    Finding LCM for 68 and 84 by Listing Multiples

    The second method to find LCM for numbers 68 and 84 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 68: 68, 136, 204, 272, 340, 408, 476, 544, 612, 680, 748, 816, 884, 952, 1,020, 1,088, 1,156, 1,224, 1,292, 1,360, 1,428, 1,496, 1,564

    Multiples of 84: 84, 168, 252, 336, 420, 504, 588, 672, 756, 840, 924, 1,008, 1,092, 1,176, 1,260, 1,344, 1,428, 1,512, 1,596

    So the LCM for 68 and 84 is 1,428

    Finding LCM for 68 and 84 by Prime Factorization

    Another method to find LCM for numbers 68 and 84 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 68: 2, 2, 17 (exponent form: 22, 171)

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

    22 × 171 × 31 × 71 = 1,428

    Related Calculations

    See Also

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    What is the LCM of 68 and 84?. The LCM of 68 and 84 is 1,428 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    68694,692
    68702,380
    68714,828
    68721,224
    68734,964
    68742,516
    68755,100
    68761,292
    68775,236
    68782,652
    68795,372
    68801,360
    68815,508
    68822,788
    68835,644
    68841,428
    6885340
    68862,924
    68875,916
    68881,496
    68896,052
    68903,060
    68916,188
    68921,564
    68936,324
    68943,196
    68956,460
    68961,632
    68976,596
    68983,332

    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 68 and 84? (The answer is: 1,428). Select the first number (e.g. '68') and the second number (e.g. '84'). 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 68 and 84?

    LCM of 68 and 84 is 1,428

    How to find the LCM of 68 and 84 using prime factorization?

    To find the LCM of 68 and 84, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,428.

    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 68 and 84: LCM = 1,428, GCF = 4.

    See Also