LCM for 180 and 450

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What's the Least Common Multiple (LCM) of 180 and 450?

Answer

LCM of 180 and 450 is
900

First common multiples: 900; 1,800; 2,700; …

900 is divisible by both: 900 ÷ 180 = 5, 900 ÷ 450 = 2 — and 5 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/180 by 5 and of y/450 by 2.

180 = 22 × 32 × 5

450 = 2 × 32 × 52

Prime180450Highest power
222222
3323232
555252

LCM = 22 × 32 × 52 = 900

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
1804355,220
18043619,620
18043778,660
18043813,140
18043979,020
1804403,960
1804418,820
18044239,780
18044379,740
1804446,660
18044516,020
18044640,140
18044726,820
18044820,160
18044980,820
180450900
18045181,180
18045220,340
18045327,180
18045440,860
18045516,380
1804566,840
18045782,260
18045841,220
1804599,180
1804604,140
18046182,980
18046213,860
18046383,340
18046420,880

FAQ

What's the Least Common Multiple (LCM) of 180 and 450?

LCM of 180 and 450 is 900

How to find the LCM of 180 and 450 using prime factorization?

To find the LCM of 180 and 450, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 900.

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 450: LCM = 900, GCF = 90.

See Also