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    LCM for 15 and 10

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 15 and 10?

    Answer

    LCM of 15 and 10 is
    30

    (Thirty)

    Finding LCM for 15 and 10 using GCF of these numbers

    The first method to find LCM for numbers 15 and 10 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 15 and 10 is 5, so

    LCM = (15 × 10) ÷ 5

    LCM = 150 ÷ 5

    LCM = 30

    Finding LCM for 15 and 10 by Listing Multiples

    The second method to find LCM for numbers 15 and 10 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 15: 15, 30, 45, 60

    Multiples of 10: 10, 20, 30, 40, 50

    So the LCM for 15 and 10 is 30

    Finding LCM for 15 and 10 by Prime Factorization

    Another method to find LCM for numbers 15 and 10 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 10: 2, 5 (exponent form: 21, 51)

    31 × 51 × 21 = 30

    Related Calculations

    See Also

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    What is the LCM of 15 and 10?. The LCM of 15 and 10 is 30 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    15515
    15630
    15945
    151030
    151260
    1516240
    151890
    1519285
    152060
    1521105
    1522330
    1524120
    152575
    1526390
    1527135
    1528420
    153030
    1531465
    1533165
    1534510
    1535105
    1536180
    1537555
    1539195
    1540120
    1543645
    154545
    1546690
    1547705
    1550150

    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 10? (The answer is: 30). Select the first number (e.g. '15') and the second number (e.g. '10'). 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 10?

    LCM of 15 and 10 is 30

    How to find the LCM of 15 and 10 using prime factorization?

    To find the LCM of 15 and 10, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 30.

    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 10: LCM = 30, GCF = 5.

    See Also