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    LCM for 9 and 57

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 9 and 57?

    Answer

    LCM of 9 and 57 is
    171

    (One hundred seventy-one)

    Finding LCM for 9 and 57 using GCF of these numbers

    The first method to find LCM for numbers 9 and 57 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 9 and 57 is 3, so

    LCM = (9 × 57) ÷ 3

    LCM = 513 ÷ 3

    LCM = 171

    Finding LCM for 9 and 57 by Listing Multiples

    The second method to find LCM for numbers 9 and 57 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189

    Multiples of 57: 57, 114, 171, 228, 285

    So the LCM for 9 and 57 is 171

    Finding LCM for 9 and 57 by Prime Factorization

    Another method to find LCM for numbers 9 and 57 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 9: 3, 3 (exponent form: 32)

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

    32 × 191 = 171

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    See Also

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    What is the LCM of 9 and 57?. The LCM of 9 and 57 is 171 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    917153
    91818
    920180
    92163
    922198
    92472
    925225
    92727
    928252
    929261
    93090
    932288
    93399
    935315
    93636
    938342
    939117
    940360
    941369
    944396
    94545
    946414
    948144
    950450
    952468
    957171
    959531
    96363
    964576
    9132396

    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 9 and 57? (The answer is: 171). Select the first number (e.g. '9') and the second number (e.g. '57'). 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 9 and 57?

    LCM of 9 and 57 is 171

    How to find the LCM of 9 and 57 using prime factorization?

    To find the LCM of 9 and 57, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 171.

    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 9 and 57: LCM = 171, GCF = 3.

    See Also