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    LCM for 38 and 58

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 38 and 58?

    Answer

    LCM of 38 and 58 is
    1,102

    First common multiples: 1,102; 2,204; 3,306; …

    1,102 is divisible by both: 1,102 ÷ 38 = 29; 1,102 ÷ 58 = 19 — and 29 and 19 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/38 by 29 and of y/58 by 19.

    38 = 2 × 19

    58 = 2 × 29

    Prime3858Highest power
    2222
    1919—19
    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 × 19 × 29 = 1,102

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    What is the LCM of 38 and 58?. The LCM of 38 and 58 is 1,102 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    38431,634
    3844836
    38451,710
    3846874
    38471,786
    3848912
    38491,862
    3850950
    38511,938
    3852988
    38532,014
    38541,026
    38552,090
    38561,064
    3857114
    38581,102
    38592,242
    38601,140
    38612,318
    38621,178
    38632,394
    38641,216
    38652,470
    38661,254
    38672,546
    38681,292
    38692,622
    38701,330
    38712,698
    38721,368

    FAQ

    What's the Least Common Multiple (LCM) of 38 and 58?

    LCM of 38 and 58 is 1,102

    How to find the LCM of 38 and 58 using prime factorization?

    To find the LCM of 38 and 58, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,102.

    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 38 and 58: LCM = 1,102, GCF = 2.