What is the Least Common Multiple of 11564 and 11574?

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 11564 and 11574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11564 and 11574, than apply into the LCM equation.

GCF(11564,11574) = 2
LCM(11564,11574) = ( 11564 × 11574) / 2
LCM(11564,11574) = 133841736 / 2
LCM(11564,11574) = 66920868

Least Common Multiple (LCM) of 11564 and 11574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11564 and 11574. First we will calculate the prime factors of 11564 and 11574.

Prime Factorization of 11564

Prime Factorization of 11574

Now multiplying the highest exponent prime factors to calculate the LCM of 11564 and 11574.

LCM(11564,11574) = 2² × 7² × 59¹ × 3² × 643¹
LCM(11564,11574) = 66920868