LCM for 15 and 56

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What's the Least Common Multiple (LCM) of 15 and 56?

Answer

LCM of 15 and 56 is
840

First common multiples: 840; 1,680; 2,520; …

840 is divisible by both: 840 ÷ 15 = 56, 840 ÷ 56 = 15 — and 56 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 56 and of y/56 by 15.

15 and 56 are coprime (GCF = 1), so their LCM is simply the product: 15 × 56 = 840.

15 = 3 × 5

56 = 23 × 7

Prime1556Highest power
2—2323
33—3
55—5
7—77

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

LCM = 23 × 3 × 5 × 7 = 840

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LCM Table

Number 1Number 2LCM
152575
1526390
1527135
1528420
153030
1531465
1533165
1534510
1535105
1536180
1537555
1539195
1540120
1543645
154545
1546690
1547705
1550150
1551255
1552780
1554270
1556840
1558870
1559885
156060
1564960
157575
15771,155
15100300
15125375

FAQ

What's the Least Common Multiple (LCM) of 15 and 56?

LCM of 15 and 56 is 840

How to find the LCM of 15 and 56 using prime factorization?

To find the LCM of 15 and 56, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 840.

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 56: LCM = 840, GCF = 1.

See Also