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    LCM for 60 and 135

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 60 and 135?

    Answer

    LCM of 60 and 135 is
    540

    First common multiples: 540; 1,080; 1,620; …

    540 is divisible by both: 540 ÷ 60 = 9, 540 ÷ 135 = 4 — and 9 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/60 by 9 and of y/135 by 4.

    60 = 22 × 3 × 5

    135 = 33 × 5

    Prime60135Highest power
    222—22
    333333
    5555

    — = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

    LCM = 22 × 33 × 5 = 540

    More with these numbers

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    What is the LCM of 60 and 135?. The LCM of 60 and 135 is 540 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    606060
    6066660
    6070420
    6072360
    6075300
    6080240
    6090180
    60100300
    60108540
    60110660
    601251,500
    60132660
    60135540
    60140420
    60150300
    601551,860
    60160480
    601752,100
    601852,220
    601901,140
    602152,580
    60220660
    602352,820
    602452,940
    602501,500
    60260780
    602753,300
    60280840
    602901,740
    603151,260

    FAQ

    What's the Least Common Multiple (LCM) of 60 and 135?

    LCM of 60 and 135 is 540

    How to find the LCM of 60 and 135 using prime factorization?

    To find the LCM of 60 and 135, 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 60 and 135: LCM = 540, GCF = 15.

    See Also