LCM for 80 and 145

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What's the Least Common Multiple (LCM) of 80 and 145?

Answer

LCM of 80 and 145 is
2,320

First common multiples: 2,320; 4,640; 6,960; …

2,320 is divisible by both: 2,320 ÷ 80 = 29; 2,320 ÷ 145 = 16 — and 29 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 29 and of y/145 by 16.

80 = 24 × 5

145 = 5 × 29

Prime80145Highest power
224—24
5555
29—2929

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

LCM = 24 × 5 × 29 = 2,320

See Also

FAQ

What's the Least Common Multiple (LCM) of 80 and 145?

LCM of 80 and 145 is 2,320

How to find the LCM of 80 and 145 using prime factorization?

To find the LCM of 80 and 145, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,320.

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 145: LCM = 2,320, GCF = 5.