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    LCM for 16 and 23

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 16 and 23?

    Answer

    LCM of 16 and 23 is
    368

    First common multiples: 368; 736; 1,104; …

    368 is divisible by both: 368 ÷ 16 = 23, 368 ÷ 23 = 16 — and 23 and 16 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/16 by 23 and of y/23 by 16.

    16 and 23 are coprime (GCF = 1), so their LCM is simply the product: 16 × 23 = 368.

    16 = 24

    23 — prime

    Prime1623Highest power
    224—24
    23—2323

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

    LCM = 24 × 23 = 368

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    What is the LCM of 16 and 23?. The LCM of 16 and 23 is 368 — the smallest common multiple of both integers.
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    FAQ

    What's the Least Common Multiple (LCM) of 16 and 23?

    LCM of 16 and 23 is 368

    How to find the LCM of 16 and 23 using prime factorization?

    To find the LCM of 16 and 23, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 368.

    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 16 and 23: LCM = 368, GCF = 1.