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    LCM for 9 and 15

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 9 and 15?

    Answer

    LCM of 9 and 15 is
    45

    (Forty-five)

    Finding LCM for 9 and 15 using GCF of these numbers

    The first method to find LCM for numbers 9 and 15 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 9 and 15 is 3, so

    LCM = (9 × 15) ÷ 3

    LCM = 135 ÷ 3

    LCM = 45

    Finding LCM for 9 and 15 by Listing Multiples

    The second method to find LCM for numbers 9 and 15 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 9: 9, 18, 27, 36, 45, 54, 63

    Multiples of 15: 15, 30, 45, 60, 75

    So the LCM for 9 and 15 is 45

    Finding LCM for 9 and 15 by Prime Factorization

    Another method to find LCM for numbers 9 and 15 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 9: 3, 3 (exponent form: 32)

    All Prime Factors of 15: 3, 5 (exponent form: 31, 51)

    32 × 51 = 45

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    See Also

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    What is the LCM of 9 and 15?. The LCM of 9 and 15 is 45 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    939
    9436
    9545
    9618
    9763
    9872
    91090
    91199
    91236
    913117
    914126
    91545
    916144
    917153
    91818
    920180
    92163
    922198
    92472
    925225
    92727
    928252
    929261
    93090
    932288
    93399
    935315
    93636
    938342
    939117

    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 9 and 15? (The answer is: 45). Select the first number (e.g. '9') and the second number (e.g. '15'). 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 9 and 15?

    LCM of 9 and 15 is 45

    How to find the LCM of 9 and 15 using prime factorization?

    To find the LCM of 9 and 15, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 45.

    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 9 and 15: LCM = 45, GCF = 3.

    See Also