What is the Least Common Multiple of 60564 and 60574?

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 60564 and 60574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60564 and 60574, than apply into the LCM equation.

GCF(60564,60574) = 2
LCM(60564,60574) = ( 60564 × 60574) / 2
LCM(60564,60574) = 3668603736 / 2
LCM(60564,60574) = 1834301868

Least Common Multiple (LCM) of 60564 and 60574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60564 and 60574. First we will calculate the prime factors of 60564 and 60574.

Prime Factorization of 60564

Prime Factorization of 60574

Now multiplying the highest exponent prime factors to calculate the LCM of 60564 and 60574.

LCM(60564,60574) = 2² × 3¹ × 7² × 103¹ × 31¹ × 977¹
LCM(60564,60574) = 1834301868