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    LCM for 28 and 48

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 28 and 48?

    Answer

    LCM of 28 and 48 is
    336

    (Three hundred thirty-six)

    Finding LCM for 28 and 48 using GCF of these numbers

    The first method to find LCM for numbers 28 and 48 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 28 and 48 is 4, so

    LCM = (28 × 48) ÷ 4

    LCM = 1344 ÷ 4

    LCM = 336

    Finding LCM for 28 and 48 by Listing Multiples

    The second method to find LCM for numbers 28 and 48 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 28: 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392

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

    So the LCM for 28 and 48 is 336

    Finding LCM for 28 and 48 by Prime Factorization

    Another method to find LCM for numbers 28 and 48 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 28: 2, 2, 7 (exponent form: 22, 71)

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

    24 × 71 × 31 = 336

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    What is the LCM of 28 and 48?. The LCM of 28 and 48 is 336 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    2829812
    2830420
    2831868
    2832224
    2834476
    2835140
    2836252
    2838532
    28391092
    2840280
    28411148
    284284
    28431204
    28451260
    2848336
    2849196
    2850700
    28511428
    2852364
    2854756
    285656
    28571596
    2858812
    28591652
    2860420
    2872504

    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 28 and 48? (The answer is: 336). Select the first number (e.g. '28') and the second number (e.g. '48'). 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 28 and 48?

    LCM of 28 and 48 is 336

    How to find the LCM of 28 and 48 using prime factorization?

    To find the LCM of 28 and 48, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 336.

    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 28 and 48: LCM = 336, GCF = 4.

    See Also