LCM for 54 and 180

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What's the Least Common Multiple (LCM) of 54 and 180?

Answer

LCM of 54 and 180 is
540

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

540 is divisible by both: 540 ÷ 54 = 10, 540 ÷ 180 = 3 — and 10 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/54 by 10 and of y/180 by 3.

54 = 2 × 33

180 = 22 × 32 × 5

Prime54180Highest power
222222
3333233
5—55

— = 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

See Also

LCM Table

Number 1Number 2LCM
541652,970
541664,482
541679,018
541681,512
541699,126
541704,590
541711,026
541724,644
541739,342
541741,566
541759,450
541764,752
541773,186
541784,806
541799,666
54180540
541819,774
541824,914
541833,294
541844,968
541859,990
541861,674
5418710,098
541885,076
54189378
541905,130
5419110,314
541921,728
5419310,422
541945,238

FAQ

What's the Least Common Multiple (LCM) of 54 and 180?

LCM of 54 and 180 is 540

How to find the LCM of 54 and 180 using prime factorization?

To find the LCM of 54 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 54 and 180: LCM = 540, GCF = 18.

See Also