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    LCM for 14 and 58

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 14 and 58?

    Answer

    LCM of 14 and 58 is
    406

    First common multiples: 406; 812; 1,218; …

    406 is divisible by both: 406 ÷ 14 = 29, 406 ÷ 58 = 7 — and 29 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/14 by 29 and of y/58 by 7.

    14 = 2 × 7

    58 = 2 × 29

    Prime1458Highest power
    2222
    77—7
    29—2929

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

    LCM = 2 × 7 × 29 = 406

    More with these numbers

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    What is the LCM of 14 and 58? The LCM of 14 and 58 is 406 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1416112
    1417238
    1418126
    1419266
    1420140
    142142
    1422154
    1423322
    1424168
    1425350
    1426182
    1427378
    142828
    1430210
    1432224
    143570
    1439546
    1441574
    144242
    1444308
    1445630
    144998
    1455770
    1457798
    1458406
    1460420
    1463126
    148484
    14105210
    14217434

    FAQ

    What's the Least Common Multiple (LCM) of 14 and 58?

    LCM of 14 and 58 is 406

    How to find the LCM of 14 and 58 using prime factorization?

    To find the LCM of 14 and 58, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 406.

    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 14 and 58: LCM = 406, GCF = 2.

    See Also