LCM for 80 and 130

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What's the Least Common Multiple (LCM) of 80 and 130?

Answer

LCM of 80 and 130 is
1,040

First common multiples: 1,040; 2,080; 3,120; …

1,040 is divisible by both: 1,040 ÷ 80 = 13; 1,040 ÷ 130 = 8 — and 13 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/80 by 13 and of y/130 by 8.

80 = 24 × 5

130 = 2 × 5 × 13

Prime80130Highest power
224224
5555
13—1313

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

LCM = 24 × 5 × 13 = 1,040

See Also

FAQ

What's the Least Common Multiple (LCM) of 80 and 130?

LCM of 80 and 130 is 1,040

How to find the LCM of 80 and 130 using prime factorization?

To find the LCM of 80 and 130, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,040.

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 130: LCM = 1,040, GCF = 10.