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    LCM for 84 and 100

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 84 and 100?

    Answer

    LCM of 84 and 100 is
    2,100

    (Two thousand one hundred)

    Finding LCM for 84 and 100 using GCF of these numbers

    The first method to find LCM for numbers 84 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 84 and 100 is 4, so

    LCM = (84 × 100) ÷ 4

    LCM = 8,400 ÷ 4

    LCM = 2,100

    Finding LCM for 84 and 100 by Listing Multiples

    The second method to find LCM for numbers 84 and 100 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, 1008, 1092, 1176, 1260, 1344, 1428, 1512, 1596, 1680, 1764, 1848, 1932, 2016, 2100, 2184, 2268

    Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900, 2000, 2100, 2200, 2300

    So the LCM for 84 and 100 is 2,100

    Finding LCM for 84 and 100 by Prime Factorization

    Another method to find LCM for numbers 84 and 100 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 100: 2, 2, 5, 5 (exponent form: 22, 52)

    22 × 31 × 71 × 52 = 2,100

    Related Calculations

    See Also

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    What is the LCM of 84 and 100?. The LCM of 84 and 100 is 2,100 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    84857,140
    84863,612
    84872,436
    84881,848
    84897,476
    84901,260
    84911,092
    84921,932
    84932,604
    84943,948
    84957,980
    8496672
    84978,148
    8498588
    84992,772
    841002,100
    841018,484
    841021,428
    841038,652
    841042,184
    84105420
    841064,452
    841078,988
    84108756
    841099,156
    841104,620
    841113,108
    84112336
    841139,492
    841141,596

    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 100? (The answer is: 2,100). Select the first number (e.g. '84') and the second number (e.g. '100'). 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 100?

    LCM of 84 and 100 is 2,100

    How to find the LCM of 84 and 100 using prime factorization?

    To find the LCM of 84 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,100.

    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 100: LCM = 2,100, GCF = 4.

    See Also