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    LCM for 31 and 53

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 31 and 53?

    Answer

    LCM of 31 and 53 is
    1,643

    (One thousand six hundred forty-three)

    Finding LCM for 31 and 53 using GCF of these numbers

    The first method to find LCM for numbers 31 and 53 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 31 and 53 is 1, so

    LCM = (31 × 53) ÷ 1

    LCM = 1643 ÷ 1

    LCM = 1643

    Finding LCM for 31 and 53 by Listing Multiples

    The second method to find LCM for numbers 31 and 53 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

    Multiples of 53: 53, 106, 159, 212, 265, 318, 371, 424, 477, 530, 583, 636, 689, 742, 795, 848, 901, 954, 1007, 1060, 1113, 1166, 1219, 1272, 1325, 1378, 1431, 1484, 1537, 1590, 1643, 1696, 1749

    So the LCM for 31 and 53 is 1643

    Finding LCM for 31 and 53 by Prime Factorization

    Another method to find LCM for numbers 31 and 53 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 53: 53 (exponent form: 531)

    311 × 531 = 1643

    Related Calculations

    See Also

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    What is the LCM of 31 and 53?. The LCM of 31 and 53 is 1643 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    31381178
    31391209
    31401240
    31411271
    31421302
    31431333
    31441364
    31451395
    31461426
    31471457
    31481488
    31491519
    31501550
    31511581
    31521612
    31531643
    31541674
    31551705
    31561736
    31571767
    31581798
    31591829
    31601860
    31611891
    316262
    31631953
    31641984
    31652015
    31662046
    31672077

    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 53? (The answer is: 1643). Select the first number (e.g. '31') and the second number (e.g. '53'). 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 53?

    LCM of 31 and 53 is 1,643

    How to find the LCM of 31 and 53 using prime factorization?

    To find the LCM of 31 and 53, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,643.

    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 53: LCM = 1,643, GCF = 1.

    See Also