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    LCM for 200 and 300

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 200 and 300?

    Answer

    LCM of 200 and 300 is
    600

    First common multiples: 600; 1,200; 1,800; …

    600 is divisible by both: 600 ÷ 200 = 3, 600 ÷ 300 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/200 by 3 and of y/300 by 2.

    200 = 23 × 52

    300 = 22 × 3 × 52

    Prime200300Highest power
    2232223
    3—33
    5525252

    — = 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 = 600

    More with these numbers

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    What is the LCM of 200 and 300? The LCM of 200 and 300 is 600 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    20028511,400
    20028628,600
    20028757,400
    2002887,200
    20028957,800
    2002905,800
    20029158,200
    20029214,600
    20029358,600
    20029429,400
    20029511,800
    2002967,400
    20029759,400
    20029829,800
    20029959,800
    200300600
    20030160,200
    20030230,200
    20030360,600
    2003047,600
    20030512,200
    20030630,600
    20030761,400
    20030815,400
    20030961,800
    2003106,200
    20031162,200
    2003127,800
    20031362,600
    20031431,400

    FAQ

    What's the Least Common Multiple (LCM) of 200 and 300?

    LCM of 200 and 300 is 600

    How to find the LCM of 200 and 300 using prime factorization?

    To find the LCM of 200 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 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 200 and 300: LCM = 600, GCF = 100.

    See Also