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    LCM for 16 and 100

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 16 and 100?

    Answer

    LCM of 16 and 100 is
    400

    (Four hundred)

    Finding LCM for 16 and 100 using GCF of these numbers

    The first method to find LCM for numbers 16 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 16 and 100 is 4, so

    LCM = (16 × 100) ÷ 4

    LCM = 1600 ÷ 4

    LCM = 400

    Finding LCM for 16 and 100 by Listing Multiples

    The second method to find LCM for numbers 16 and 100 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272, 288, 304, 320, 336, 352, 368, 384, 400, 416, 432

    Multiples of 100: 100, 200, 300, 400, 500, 600

    So the LCM for 16 and 100 is 400

    Finding LCM for 16 and 100 by Prime Factorization

    Another method to find LCM for numbers 16 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 16: 2, 2, 2, 2 (exponent form: 24)

    All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

    24 × 52 = 400

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    What is the LCM of 16 and 100?. The LCM of 16 and 100 is 400 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1623368
    162448
    1625400
    1626208
    1627432
    1628112
    1629464
    1630240
    1631496
    163232
    1634272
    1635560
    1636144
    1638304
    1639624
    164080
    1642336
    1643688
    1644176
    1645720
    1646368
    164848
    1651816
    1655880
    1656112
    1657912
    1658464
    1659944
    1672144
    16100400

    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 16 and 100? (The answer is: 400). Select the first number (e.g. '16') and the second number (e.g. '100'). 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 16 and 100?

    LCM of 16 and 100 is 400

    How to find the LCM of 16 and 100 using prime factorization?

    To find the LCM of 16 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 400.

    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 16 and 100: LCM = 400, GCF = 4.

    See Also