LCM for 15 and 31

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What's the Least Common Multiple (LCM) of 15 and 31?

Answer

LCM of 15 and 31 is
465

First common multiples: 465; 930; 1,395; …

465 is divisible by both: 465 ÷ 15 = 31, 465 ÷ 31 = 15 — and 31 and 15 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/15 by 31 and of y/31 by 15.

15 and 31 are coprime (GCF = 1), so their LCM is simply the product: 15 × 31 = 465.

15 = 3 × 5

31 — prime

Prime1531Highest power
33—3
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 = 3 × 5 × 31 = 465

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LCM Table

Number 1Number 2LCM
15945
151030
151260
1516240
151890
1519285
152060
1521105
1522330
1524120
152575
1526390
1527135
1528420
153030
1531465
1533165
1534510
1535105
1536180
1537555
1539195
1540120
1543645
154545
1546690
1547705
1550150
1551255
1552780

FAQ

What's the Least Common Multiple (LCM) of 15 and 31?

LCM of 15 and 31 is 465

How to find the LCM of 15 and 31 using prime factorization?

To find the LCM of 15 and 31, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 465.

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 15 and 31: LCM = 465, GCF = 1.

See Also