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    LCM for 25 and 45

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 25 and 45?

    Answer

    LCM of 25 and 45 is
    225

    First common multiples: 225, 450, 675, …

    225 is divisible by both: 225 ÷ 25 = 9, 225 ÷ 45 = 5 — and 9 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/25 by 9 and of y/45 by 5.

    25 = 52

    45 = 32 × 5

    Prime2545Highest power
    3—3232
    552552

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

    LCM = 32 × 52 = 225

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    What is the LCM of 25 and 45? The LCM of 25 and 45 is 225 — the smallest common multiple of both integers.
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    FAQ

    What's the Least Common Multiple (LCM) of 25 and 45?

    LCM of 25 and 45 is 225

    How to find the LCM of 25 and 45 using prime factorization?

    To find the LCM of 25 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 225.

    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 25 and 45: LCM = 225, GCF = 5.