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    LCM for 100 and 225

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 100 and 225?

    Answer

    LCM of 100 and 225 is
    900

    First common multiples: 900; 1,800; 2,700; …

    900 is divisible by both: 900 ÷ 100 = 9, 900 ÷ 225 = 4 — and 9 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/100 by 9 and of y/225 by 4.

    100 = 22 × 52

    225 = 32 × 52

    Prime100225Highest power
    222—22
    3—3232
    5525252

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

    LCM = 22 × 32 × 52 = 900

    More with these numbers

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    What is the LCM of 100 and 225? The LCM of 100 and 225 is 900 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    10012112,100
    100125500
    1001301,300
    1001352,700
    1001443,600
    100150300
    1001553,100
    100160800
    1001653,300
    100175700
    100180900
    1001901,900
    100200200
    1002154,300
    1002201,100
    100225900
    1002401,200
    100250500
    1002555,100
    1002601,300
    1002702,700
    1002751,100
    1002855,700
    1002902,900
    1003201,600
    1003251,300
    1003303,300
    1003401,700
    1003601,800
    1003657,300

    FAQ

    What's the Least Common Multiple (LCM) of 100 and 225?

    LCM of 100 and 225 is 900

    How to find the LCM of 100 and 225 using prime factorization?

    To find the LCM of 100 and 225, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 900.

    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 100 and 225: LCM = 900, GCF = 25.

    See Also