LCM for 180 and 252

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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

See Also

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