LCM for 80 and 115

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What's the Least Common Multiple (LCM) of 80 and 115?

Answer

LCM of 80 and 115 is
1,840

First common multiples: 1,840; 3,680; 5,520; …

1,840 is divisible by both: 1,840 ÷ 80 = 23; 1,840 ÷ 115 = 16 — and 23 and 16 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/80 by 23 and of y/115 by 16.

80 = 24 × 5

115 = 5 × 23

Prime80115Highest power
224—24
5555
23—2323

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

LCM = 24 × 5 × 23 = 1,840

See Also

FAQ

What's the Least Common Multiple (LCM) of 80 and 115?

LCM of 80 and 115 is 1,840

How to find the LCM of 80 and 115 using prime factorization?

To find the LCM of 80 and 115, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,840.

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 80 and 115: LCM = 1,840, GCF = 5.