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    LCM for 48 and 54

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 48 and 54?

    Answer

    LCM of 48 and 54 is
    432

    (Four hundred thirty-two)

    Finding LCM for 48 and 54 using GCF of these numbers

    The first method to find LCM for numbers 48 and 54 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 48 and 54 is 6, so

    LCM = (48 × 54) ÷ 6

    LCM = 2592 ÷ 6

    LCM = 432

    Finding LCM for 48 and 54 by Listing Multiples

    The second method to find LCM for numbers 48 and 54 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528

    Multiples of 54: 54, 108, 162, 216, 270, 324, 378, 432, 486, 540

    So the LCM for 48 and 54 is 432

    Finding LCM for 48 and 54 by Prime Factorization

    Another method to find LCM for numbers 48 and 54 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

    All Prime Factors of 54: 2, 3, 3, 3 (exponent form: 21, 33)

    24 × 33 = 432

    Related Calculations

    See Also

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    What is the LCM of 48 and 54?. The LCM of 48 and 54 is 432 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    4839624
    4840240
    48411968
    4842336
    48432064
    4844528
    4845720
    48461104
    48472256
    484848
    48492352
    48501200
    4851816
    4852624
    48532544
    4854432
    48552640
    4856336
    4857912
    48581392
    48592832
    4860240
    48612928
    48621488
    48631008
    4864192
    48653120
    4866528
    48673216
    4868816

    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 48 and 54? (The answer is: 432). Select the first number (e.g. '48') and the second number (e.g. '54'). 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 48 and 54?

    LCM of 48 and 54 is 432

    How to find the LCM of 48 and 54 using prime factorization?

    To find the LCM of 48 and 54, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 432.

    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 48 and 54: LCM = 432, GCF = 6.

    See Also