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    LCM for 31 and 56

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 31 and 56?

    Answer

    LCM of 31 and 56 is
    1,736

    (One thousand seven hundred thirty-six)

    Finding LCM for 31 and 56 using GCF of these numbers

    The first method to find LCM for numbers 31 and 56 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 31 and 56 is 1, so

    LCM = (31 × 56) ÷ 1

    LCM = 1,736 ÷ 1

    LCM = 1,736

    Finding LCM for 31 and 56 by Listing Multiples

    The second method to find LCM for numbers 31 and 56 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 31: 31, 62, 93, 124, 155, 186, 217, 248, 279, 310, 341, 372, 403, 434, 465, 496, 527, 558, 589, 620, 651, 682, 713, 744, 775, 806, 837, 868, 899, 930, 961, 992, 1023, 1054, 1085, 1116, 1147, 1178, 1209, 1240, 1271, 1302, 1333, 1364, 1395, 1426, 1457, 1488, 1519, 1550, 1581, 1612, 1643, 1674, 1705, 1736, 1767, 1798

    Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, 952, 1008, 1064, 1120, 1176, 1232, 1288, 1344, 1400, 1456, 1512, 1568, 1624, 1680, 1736, 1792, 1848

    So the LCM for 31 and 56 is 1,736

    Finding LCM for 31 and 56 by Prime Factorization

    Another method to find LCM for numbers 31 and 56 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 31: 31 (exponent form: 311)

    All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 23, 71)

    311 × 23 × 71 = 1,736

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    What is the LCM of 31 and 56?. The LCM of 31 and 56 is 1,736 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    31411,271
    31421,302
    31431,333
    31441,364
    31451,395
    31461,426
    31471,457
    31481,488
    31491,519
    31501,550
    31511,581
    31521,612
    31531,643
    31541,674
    31551,705
    31561,736
    31571,767
    31581,798
    31591,829
    31601,860
    31611,891
    316262
    31631,953
    31641,984
    31652,015
    31662,046
    31672,077
    31682,108
    31692,139
    31702,170

    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 31 and 56? (The answer is: 1,736). Select the first number (e.g. '31') and the second number (e.g. '56'). 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 31 and 56?

    LCM of 31 and 56 is 1,736

    How to find the LCM of 31 and 56 using prime factorization?

    To find the LCM of 31 and 56, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,736.

    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 31 and 56: LCM = 1,736, GCF = 1.

    See Also