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    LCM for 38 and 52

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 38 and 52?

    Answer

    LCM of 38 and 52 is
    988

    (Nine hundred eighty-eight)

    Finding LCM for 38 and 52 using GCF of these numbers

    The first method to find LCM for numbers 38 and 52 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 38 and 52 is 2, so

    LCM = (38 × 52) ÷ 2

    LCM = 1,976 ÷ 2

    LCM = 988

    Finding LCM for 38 and 52 by Listing Multiples

    The second method to find LCM for numbers 38 and 52 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 38: 38, 76, 114, 152, 190, 228, 266, 304, 342, 380, 418, 456, 494, 532, 570, 608, 646, 684, 722, 760, 798, 836, 874, 912, 950, 988, 1026, 1064

    Multiples of 52: 52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676, 728, 780, 832, 884, 936, 988, 1040, 1092

    So the LCM for 38 and 52 is 988

    Finding LCM for 38 and 52 by Prime Factorization

    Another method to find LCM for numbers 38 and 52 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 38: 2, 19 (exponent form: 21, 191)

    All Prime Factors of 52: 2, 2, 13 (exponent form: 22, 131)

    22 × 191 × 131 = 988

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    What is the LCM of 38 and 52?. The LCM of 38 and 52 is 988 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    38371,406
    383838
    38391,482
    3840760
    38411,558
    3842798
    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

    About "Least Common Multiple" Calculator

    This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 38 and 52? (The answer is: 988). Select the first number (e.g. '38') and the second number (e.g. '52'). After that hit the 'Calculate' button.
    Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    FAQ

    What's the Least Common Multiple (LCM) of 38 and 52?

    LCM of 38 and 52 is 988

    How to find the LCM of 38 and 52 using prime factorization?

    To find the LCM of 38 and 52, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 988.

    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 52: LCM = 988, GCF = 2.

    See Also