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    LCM for 48 and 36

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 48 and 36?

    Answer

    LCM of 48 and 36 is
    144

    (One hundred forty-four)

    Finding LCM for 48 and 36 using GCF of these numbers

    The first method to find LCM for numbers 48 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 48 and 36 is 12, so

    LCM = (48 × 36) ÷ 12

    LCM = 1728 ÷ 12

    LCM = 144

    Finding LCM for 48 and 36 by Listing Multiples

    The second method to find LCM for numbers 48 and 36 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

    Multiples of 36: 36, 72, 108, 144, 180, 216

    So the LCM for 48 and 36 is 144

    Finding LCM for 48 and 36 by Prime Factorization

    Another method to find LCM for numbers 48 and 36 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 36: 2, 2, 3, 3 (exponent form: 22, 32)

    24 × 32 = 144

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    What is the LCM of 48 and 36?. The LCM of 48 and 36 is 144 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    4821336
    4822528
    48231104
    482448
    48251200
    4826624
    4827432
    4828336
    48291392
    4830240
    48311488
    483296
    4833528
    4834816
    48351680
    4836144
    48371776
    4838912
    4839624
    4840240
    48411968
    4842336
    48432064
    4844528
    4845720
    48461104
    48472256
    484848
    48492352
    48501200

    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 36? (The answer is: 144). Select the first number (e.g. '48') and the second number (e.g. '36'). 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 36?

    LCM of 48 and 36 is 144

    How to find the LCM of 48 and 36 using prime factorization?

    To find the LCM of 48 and 36, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 144.

    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 36: LCM = 144, GCF = 12.

    See Also