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    LCM for 6 and 13

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 6 and 13?

    Answer

    LCM of 6 and 13 is
    78

    (Seventy-eight)

    Finding LCM for 6 and 13 using GCF of these numbers

    The first method to find LCM for numbers 6 and 13 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 6 and 13 is 1, so

    LCM = (6 × 13) ÷ 1

    LCM = 78 ÷ 1

    LCM = 78

    Finding LCM for 6 and 13 by Listing Multiples

    The second method to find LCM for numbers 6 and 13 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90

    Multiples of 13: 13, 26, 39, 52, 65, 78, 91, 104

    So the LCM for 6 and 13 is 78

    Finding LCM for 6 and 13 by Prime Factorization

    Another method to find LCM for numbers 6 and 13 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 6: 2, 3 (exponent form: 21, 31)

    All Prime Factors of 13: 13 (exponent form: 131)

    21 × 31 × 131 = 78

    Related Calculations

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    What is the LCM of 6 and 13?. The LCM of 6 and 13 is 78 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    626
    6412
    6530
    6742
    6824
    6918
    61030
    61166
    61212
    61378
    61442
    61530
    61648
    617102
    61818
    62060
    62142
    62266
    623138
    62424
    625150
    62678
    62754
    62884
    63030
    631186
    63296
    635210
    63636
    638114

    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 6 and 13? (The answer is: 78). Select the first number (e.g. '6') and the second number (e.g. '13'). 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 6 and 13?

    LCM of 6 and 13 is 78

    How to find the LCM of 6 and 13 using prime factorization?

    To find the LCM of 6 and 13, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 78.

    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 6 and 13: LCM = 78, GCF = 1.

    See Also