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    LCM for 100 and 340

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 100 and 340?

    Answer

    LCM of 100 and 340 is
    1,700

    First common multiples: 1,700; 3,400; 5,100; …

    1,700 is divisible by both: 1,700 ÷ 100 = 17; 1,700 ÷ 340 = 5 — and 17 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/100 by 17 and of y/340 by 5.

    100 = 22 × 52

    340 = 22 × 5 × 17

    Prime100340Highest power
    2222222
    552552
    17—1717

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

    LCM = 22 × 52 × 17 = 1,700

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    What is the LCM of 100 and 340? The LCM of 100 and 340 is 1,700 — the smallest common multiple of both integers.
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    FAQ

    What's the Least Common Multiple (LCM) of 100 and 340?

    LCM of 100 and 340 is 1,700

    How to find the LCM of 100 and 340 using prime factorization?

    To find the LCM of 100 and 340, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,700.

    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 340: LCM = 1,700, GCF = 20.