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    LCM for 270 and 360

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 270 and 360?

    Answer

    LCM of 270 and 360 is
    1,080

    (One thousand eighty)

    Finding LCM for 270 and 360 using GCF of these numbers

    The first method to find LCM for numbers 270 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 270 and 360 is 90, so

    LCM = (270 × 360) ÷ 90

    LCM = 97200 ÷ 90

    LCM = 1080

    Finding LCM for 270 and 360 by Listing Multiples

    The second method to find LCM for numbers 270 and 360 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 270: 270, 540, 810, 1080, 1350, 1620

    Multiples of 360: 360, 720, 1080, 1440, 1800

    So the LCM for 270 and 360 is 1080

    Finding LCM for 270 and 360 by Prime Factorization

    Another method to find LCM for numbers 270 and 360 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 270: 2, 3, 3, 3, 5 (exponent form: 21, 33, 51)

    All Prime Factors of 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)

    23 × 33 × 51 = 1080

    Related Calculations

    See Also

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    What is the LCM of 270 and 360?. The LCM of 270 and 360 is 1080 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    2703456210
    27034646710
    27034793690
    27034815660
    27034994230
    2703509450
    2703513510
    27035247520
    27035395310
    27035415930
    27035519170
    27035648060
    27035732130
    27035848330
    27035996930
    2703601080
    27036197470
    27036248870
    27036332670
    27036449140
    27036519710
    27036616470
    27036799090
    27036849680
    27036911070
    2703709990
    270371100170
    27037216740
    270373100710
    27037450490

    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 270 and 360? (The answer is: 1080). Select the first number (e.g. '270') and the second number (e.g. '360'). 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 270 and 360?

    LCM of 270 and 360 is 1,080

    How to find the LCM of 270 and 360 using prime factorization?

    To find the LCM of 270 and 360, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,080.

    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 270 and 360: LCM = 1,080, GCF = 90.

    See Also