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    LCM for 31 and 32

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 31 and 32?

    Answer

    LCM of 31 and 32 is
    992

    (Nine hundred ninety-two)

    Finding LCM for 31 and 32 using GCF of these numbers

    The first method to find LCM for numbers 31 and 32 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 31 and 32 is 1, so

    LCM = (31 × 32) ÷ 1

    LCM = 992 ÷ 1

    LCM = 992

    Finding LCM for 31 and 32 by Listing Multiples

    The second method to find LCM for numbers 31 and 32 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

    Multiples of 32: 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352, 384, 416, 448, 480, 512, 544, 576, 608, 640, 672, 704, 736, 768, 800, 832, 864, 896, 928, 960, 992, 1024, 1056

    So the LCM for 31 and 32 is 992

    Finding LCM for 31 and 32 by Prime Factorization

    Another method to find LCM for numbers 31 and 32 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 32: 2, 2, 2, 2, 2 (exponent form: 25)

    311 × 25 = 992

    Related Calculations

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    What is the LCM of 31 and 32?. The LCM of 31 and 32 is 992 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    3117527
    3118558
    3119589
    3120620
    3121651
    3122682
    3123713
    3124744
    3125775
    3126806
    3127837
    3128868
    3129899
    3130930
    313131
    3132992
    31331023
    31341054
    31351085
    31361116
    31371147
    31381178
    31391209
    31401240
    31411271
    31421302
    31431333
    31441364
    31451395
    31461426

    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 32? (The answer is: 992). Select the first number (e.g. '31') and the second number (e.g. '32'). 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 32?

    LCM of 31 and 32 is 992

    How to find the LCM of 31 and 32 using prime factorization?

    To find the LCM of 31 and 32, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 992.

    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 32: LCM = 992, GCF = 1.

    See Also