LCM for 5 and 60

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What's the Least Common Multiple (LCM) of 5 and 60?

Answer

LCM of 5 and 60 is
60

First common multiples: 60, 120, 180, …

As a common denominator: multiply the top and bottom of x/5 by 12.

5 divides 60 (60 ÷ 5 = 12), so the LCM is the larger number itself.

5 — prime

60 = 22 × 3 × 5

Prime560Highest power
2—2222
3—33
5555

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

LCM = 22 × 3 × 5 = 60

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LCM Table

Number 1Number 2LCM
524120
52525
526130
527135
53030
531155
532160
53535
539195
54040
543215
544220
54545
546230
548240
55050
551255
55555
558290
559295
56060
56565
57070
57575
58080
59090
5100100
5120120
5125125
5150150

FAQ

What's the Least Common Multiple (LCM) of 5 and 60?

LCM of 5 and 60 is 60

How to find the LCM of 5 and 60 using prime factorization?

To find the LCM of 5 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 60.

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 5 and 60: LCM = 60, GCF = 5.

See Also