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    LCM for 135 and 180

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 135 and 180?

    Answer

    LCM of 135 and 180 is
    540

    (Five hundred forty)

    Finding LCM for 135 and 180 using GCF of these numbers

    The first method to find LCM for numbers 135 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 135 and 180 is 45, so

    LCM = (135 × 180) ÷ 45

    LCM = 24300 ÷ 45

    LCM = 540

    Finding LCM for 135 and 180 by Listing Multiples

    The second method to find LCM for numbers 135 and 180 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 135: 135, 270, 405, 540, 675, 810

    Multiples of 180: 180, 360, 540, 720, 900

    So the LCM for 135 and 180 is 540

    Finding LCM for 135 and 180 by Prime Factorization

    Another method to find LCM for numbers 135 and 180 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 135: 3, 3, 3, 5 (exponent form: 33, 51)

    All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

    33 × 51 × 22 = 540

    Related Calculations

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    What is the LCM of 135 and 180?. The LCM of 135 and 180 is 540 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1351651485
    13516622410
    13516722545
    1351687560
    13516922815
    1351704590
    1351712565
    13517223220
    13517323355
    1351747830
    1351754725
    13517623760
    1351777965
    13517824030
    13517924165
    135180540
    13518124435
    13518224570
    1351838235
    13518424840
    1351854995
    1351868370
    13518725245
    13518825380
    135189945
    1351905130
    13519125785
    1351928640
    13519326055
    13519426190

    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 135 and 180? (The answer is: 540). Select the first number (e.g. '135') and the second number (e.g. '180'). 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 135 and 180?

    LCM of 135 and 180 is 540

    How to find the LCM of 135 and 180 using prime factorization?

    To find the LCM of 135 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 540.

    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 135 and 180: LCM = 540, GCF = 45.

    See Also