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    LCM for 180 and 252

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 180 and 252?

    Answer

    LCM of 180 and 252 is
    1,260

    First common multiples: 1,260; 2,520; 3,780; …

    1,260 is divisible by both: 1,260 ÷ 180 = 7; 1,260 ÷ 252 = 5 — and 7 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/180 by 7 and of y/252 by 5.

    180 = 22 × 32 × 5

    252 = 22 × 32 × 7

    Prime180252Highest power
    2222222
    3323232
    55—5
    7—77

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

    LCM = 22 × 32 × 5 × 7 = 1,260

    More with these numbers

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    What is the LCM of 180 and 252? The LCM of 180 and 252 is 1,260 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    18023714,220
    18023821,420
    18023943,020
    180240720
    18024143,380
    18024221,780
    1802434,860
    18024410,980
    1802458,820
    1802467,380
    18024744,460
    18024811,160
    18024914,940
    1802504,500
    18025145,180
    1802521,260
    18025345,540
    18025422,860
    1802553,060
    18025611,520
    18025746,260
    1802587,740
    18025946,620
    1802602,340
    1802615,220
    18026223,580
    18026347,340
    1802643,960
    1802659,540
    18026623,940

    FAQ

    What's the Least Common Multiple (LCM) of 180 and 252?

    LCM of 180 and 252 is 1,260

    How to find the LCM of 180 and 252 using prime factorization?

    To find the LCM of 180 and 252, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

    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 180 and 252: LCM = 1,260, GCF = 36.

    See Also