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    LCM for 264 and 300

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 264 and 300?

    Answer

    LCM of 264 and 300 is
    6,600

    First common multiples: 6,600; 13,200; 19,800; …

    6,600 is divisible by both: 6,600 ÷ 264 = 25; 6,600 ÷ 300 = 22 — and 25 and 22 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/264 by 25 and of y/300 by 22.

    264 = 23 × 3 × 11

    300 = 22 × 3 × 52

    Prime264300Highest power
    2232223
    3333
    5—5252
    1111—11

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

    LCM = 23 × 3 × 52 × 11 = 6,600

    More with these numbers

    See Also

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    What is the LCM of 264 and 300? The LCM of 264 and 300 is 6,600 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    26428525,080
    2642863,432
    26428775,768
    2642883,168
    26428976,296
    26429038,280
    26429125,608
    26429219,272
    26429377,352
    26429412,936
    26429577,880
    2642969,768
    2642972,376
    26429839,336
    26429978,936
    2643006,600
    26430179,464
    26430239,864
    26430326,664
    26430410,032
    26430580,520
    26430613,464
    26430781,048
    2643081,848
    26430927,192
    26431040,920
    26431182,104
    2643123,432
    26431382,632
    26431441,448

    FAQ

    What's the Least Common Multiple (LCM) of 264 and 300?

    LCM of 264 and 300 is 6,600

    How to find the LCM of 264 and 300 using prime factorization?

    To find the LCM of 264 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 6,600.

    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 264 and 300: LCM = 6,600, GCF = 12.

    See Also