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    LCM for 200 and 500

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 200 and 500?

    Answer

    LCM of 200 and 500 is
    1,000

    First common multiples: 1,000; 2,000; 3,000; …

    1,000 is divisible by both: 1,000 ÷ 200 = 5; 1,000 ÷ 500 = 2 — and 5 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 5 and of y/500 by 2.

    200 = 23 × 52

    500 = 22 × 53

    Prime200500Highest power
    2232223
    5525353

    LCM = 23 × 53 = 1,000

    More with these numbers

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    What is the LCM of 200 and 500? The LCM of 200 and 500 is 1,000 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    20048519,400
    20048648,600
    20048797,400
    20048812,200
    20048997,800
    2004909,800
    20049198,200
    20049224,600
    20049398,600
    20049449,400
    20049519,800
    20049612,400
    20049799,400
    20049849,800
    20049999,800
    2005001,000
    200501100,200
    20050250,200
    200503100,600
    20050412,600
    20050520,200
    20050650,600
    200507101,400
    20050825,400
    200509101,800
    20051010,200
    200511102,200
    20051212,800
    200513102,600
    20051451,400

    FAQ

    What's the Least Common Multiple (LCM) of 200 and 500?

    LCM of 200 and 500 is 1,000

    How to find the LCM of 200 and 500 using prime factorization?

    To find the LCM of 200 and 500, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,000.

    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 500: LCM = 1,000, GCF = 100.

    See Also