What is the Least Common Multiple of 79568 and 79574?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 79568 and 79574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79568 and 79574, than apply into the LCM equation.

GCF(79568,79574) = 2
LCM(79568,79574) = ( 79568 × 79574) / 2
LCM(79568,79574) = 6331544032 / 2
LCM(79568,79574) = 3165772016

Least Common Multiple (LCM) of 79568 and 79574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79568 and 79574. First we will calculate the prime factors of 79568 and 79574.

Prime Factorization of 79568

Prime Factorization of 79574

Now multiplying the highest exponent prime factors to calculate the LCM of 79568 and 79574.

LCM(79568,79574) = 2⁴ × 4973¹ × 11¹ × 3617¹
LCM(79568,79574) = 3165772016