LCM for 5 and 31

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What's the Least Common Multiple (LCM) of 5 and 31?

Answer

LCM of 5 and 31 is
155

First common multiples: 155, 310, 465, …

155 is divisible by both: 155 ÷ 5 = 31, 155 ÷ 31 = 5 — and 31 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/5 by 31 and of y/31 by 5.

5 and 31 are coprime (GCF = 1), so their LCM is simply the product: 5 × 31 = 155.

5 — prime

31 — prime

Prime531Highest power
55—5
31—3131

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

LCM = 5 × 31 = 155

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LCM Table

Number 1Number 2LCM
51365
51470
51515
51680
51785
51890
51995
52020
521105
522110
524120
52525
526130
527135
53030
531155
532160
53535
539195
54040
543215
544220
54545
546230
548240
55050
551255
55555
558290
559295

FAQ

What's the Least Common Multiple (LCM) of 5 and 31?

LCM of 5 and 31 is 155

How to find the LCM of 5 and 31 using prime factorization?

To find the LCM of 5 and 31, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 155.

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 31: LCM = 155, GCF = 1.

See Also