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    LCM for 8 and 16

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 8 and 16?

    Answer

    LCM of 8 and 16 is
    16

    (Sixteen)

    Finding LCM for 8 and 16 using GCF of these numbers

    The first method to find LCM for numbers 8 and 16 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 8 and 16 is 8, so

    LCM = (8 × 16) ÷ 8

    LCM = 128 ÷ 8

    LCM = 16

    Finding LCM for 8 and 16 by Listing Multiples

    The second method to find LCM for numbers 8 and 16 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 8: 8, 16, 24, 32

    Multiples of 16: 16, 32, 48

    So the LCM for 8 and 16 is 16

    Finding LCM for 8 and 16 by Prime Factorization

    Another method to find LCM for numbers 8 and 16 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 8: 2, 2, 2 (exponent form: 23)

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

    24 = 16

    Related Calculations

    See Also

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    What is the LCM of 8 and 16?. The LCM of 8 and 16 is 16 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    828
    8324
    848
    8540
    8624
    8972
    81040
    81188
    81224
    813104
    81456
    815120
    81616
    817136
    81872
    82040
    821168
    82288
    82424
    825200
    826104
    827216
    82856
    830120
    83232
    833264
    835280
    83672
    84040
    841328

    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 8 and 16? (The answer is: 16). Select the first number (e.g. '8') and the second number (e.g. '16'). 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 8 and 16?

    LCM of 8 and 16 is 16

    How to find the LCM of 8 and 16 using prime factorization?

    To find the LCM of 8 and 16, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 16.

    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 8 and 16: LCM = 16, GCF = 8.

    See Also