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    LCM for 57 and 60

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 57 and 60?

    Answer

    LCM of 57 and 60 is
    1,140

    (One thousand one hundred forty)

    Finding LCM for 57 and 60 using GCF of these numbers

    The first method to find LCM for numbers 57 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 57 and 60 is 3, so

    LCM = (57 × 60) ÷ 3

    LCM = 3,420 ÷ 3

    LCM = 1,140

    Finding LCM for 57 and 60 by Listing Multiples

    The second method to find LCM for numbers 57 and 60 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 57: 57, 114, 171, 228, 285, 342, 399, 456, 513, 570, 627, 684, 741, 798, 855, 912, 969, 1026, 1083, 1140, 1197, 1254

    Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1020, 1080, 1140, 1200, 1260

    So the LCM for 57 and 60 is 1,140

    Finding LCM for 57 and 60 by Prime Factorization

    Another method to find LCM for numbers 57 and 60 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 57: 3, 19 (exponent form: 31, 191)

    All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

    31 × 191 × 22 × 51 = 1,140

    Related Calculations

    See Also

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    What is the LCM of 57 and 60?. The LCM of 57 and 60 is 1,140 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    5745855
    57462,622
    57472,679
    5748912
    57492,793
    57502,850
    5751969
    57522,964
    57533,021
    57541,026
    57553,135
    57563,192
    575757
    57583,306
    57593,363
    57601,140
    57613,477
    57623,534
    57631,197
    57643,648
    57653,705
    57661,254
    57673,819
    57683,876
    57691,311
    57703,990
    57714,047
    57721,368
    57734,161
    57744,218

    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 57 and 60? (The answer is: 1,140). Select the first number (e.g. '57') and the second number (e.g. '60'). 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 57 and 60?

    LCM of 57 and 60 is 1,140

    How to find the LCM of 57 and 60 using prime factorization?

    To find the LCM of 57 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,140.

    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 57 and 60: LCM = 1,140, GCF = 3.

    See Also