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    LCM for 15 and 75

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 15 and 75?

    Answer

    LCM of 15 and 75 is
    75

    (Seventy-five)

    Finding LCM for 15 and 75 using GCF of these numbers

    The first method to find LCM for numbers 15 and 75 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 15 and 75 is 15, so

    LCM = (15 × 75) ÷ 15

    LCM = 1125 ÷ 15

    LCM = 75

    Finding LCM for 15 and 75 by Listing Multiples

    The second method to find LCM for numbers 15 and 75 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 15: 15, 30, 45, 60, 75, 90, 105

    Multiples of 75: 75, 150, 225

    So the LCM for 15 and 75 is 75

    Finding LCM for 15 and 75 by Prime Factorization

    Another method to find LCM for numbers 15 and 75 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

    All Prime Factors of 75: 3, 5, 5 (exponent form: 31, 52)

    31 × 52 = 75

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    What is the LCM of 15 and 75?. The LCM of 15 and 75 is 75 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    152060
    1521105
    1522330
    1524120
    152575
    1526390
    1527135
    1528420
    153030
    1531465
    1533165
    1534510
    1535105
    1536180
    1537555
    1539195
    1540120
    1543645
    154545
    1546690
    1547705
    1550150
    1551255
    1552780
    1554270
    1556840
    1558870
    1559885
    156060
    157575

    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 15 and 75? (The answer is: 75). Select the first number (e.g. '15') and the second number (e.g. '75'). 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 15 and 75?

    LCM of 15 and 75 is 75

    How to find the LCM of 15 and 75 using prime factorization?

    To find the LCM of 15 and 75, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 75.

    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 15 and 75: LCM = 75, GCF = 15.

    See Also