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    LCM for 23 and 28

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 23 and 28?

    Answer

    LCM of 23 and 28 is
    644

    (Six hundred forty-four)

    Finding LCM for 23 and 28 using GCF of these numbers

    The first method to find LCM for numbers 23 and 28 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 23 and 28 is 1, so

    LCM = (23 × 28) ÷ 1

    LCM = 644 ÷ 1

    LCM = 644

    Finding LCM for 23 and 28 by Listing Multiples

    The second method to find LCM for numbers 23 and 28 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 23: 23, 46, 69, 92, 115, 138, 161, 184, 207, 230, 253, 276, 299, 322, 345, 368, 391, 414, 437, 460, 483, 506, 529, 552, 575, 598, 621, 644, 667, 690

    Multiples of 28: 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420, 448, 476, 504, 532, 560, 588, 616, 644, 672, 700

    So the LCM for 23 and 28 is 644

    Finding LCM for 23 and 28 by Prime Factorization

    Another method to find LCM for numbers 23 and 28 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 23: 23 (exponent form: 231)

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

    231 × 22 × 71 = 644

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    What is the LCM of 23 and 28?. The LCM of 23 and 28 is 644 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    2324552
    2326598
    2328644
    2329667
    2332736
    2333759
    2335805
    2336828
    2338874
    2339897
    2340920
    2342966
    2343989
    23451035
    234646
    23491127
    23511173
    23521196
    23541242
    23571311
    23601380

    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 23 and 28? (The answer is: 644). Select the first number (e.g. '23') and the second number (e.g. '28'). 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 23 and 28?

    LCM of 23 and 28 is 644

    How to find the LCM of 23 and 28 using prime factorization?

    To find the LCM of 23 and 28, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 644.

    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 23 and 28: LCM = 644, GCF = 1.

    See Also