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    LCM for 84 and 144

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 84 and 144?

    Answer

    LCM of 84 and 144 is
    1,008

    First common multiples: 1,008; 2,016; 3,024; …

    1,008 is divisible by both: 1,008 ÷ 84 = 12; 1,008 ÷ 144 = 7 — and 12 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/84 by 12 and of y/144 by 7.

    84 = 22 × 3 × 7

    144 = 24 × 32

    Prime84144Highest power
    2222424
    333232
    77—7

    — = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

    LCM = 24 × 32 × 7 = 1,008

    More with these numbers

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    What is the LCM of 84 and 144? The LCM of 84 and 144 is 1,008 — the smallest common multiple of both integers.
    https://calculat.io/en/number/least-common-multiple-lcm-of/84--144/generated.jpgCopy

    LCM Table

    Number 1Number 2LCM
    841293,612
    841305,460
    8413111,004
    84132924
    841331,596
    841345,628
    841353,780
    841362,856
    8413711,508
    841381,932
    8413911,676
    84140420
    841413,948
    841425,964
    8414312,012
    841441,008
    8414512,180
    841466,132
    84147588
    841483,108
    8414912,516
    841502,100
    8415112,684
    841523,192
    841534,284
    84154924
    8415513,020
    841561,092
    8415713,188
    841586,636

    FAQ

    What's the Least Common Multiple (LCM) of 84 and 144?

    LCM of 84 and 144 is 1,008

    How to find the LCM of 84 and 144 using prime factorization?

    To find the LCM of 84 and 144, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,008.

    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 144: LCM = 1,008, GCF = 12.

    See Also