What is the Least Common Multiple of 42564 and 42570?

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 42564 and 42570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42564 and 42570, than apply into the LCM equation.

GCF(42564,42570) = 6
LCM(42564,42570) = ( 42564 × 42570) / 6
LCM(42564,42570) = 1811949480 / 6
LCM(42564,42570) = 301991580

Least Common Multiple (LCM) of 42564 and 42570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42564 and 42570. First we will calculate the prime factors of 42564 and 42570.

Prime Factorization of 42564

Prime Factorization of 42570

Now multiplying the highest exponent prime factors to calculate the LCM of 42564 and 42570.

LCM(42564,42570) = 2² × 3² × 3547¹ × 5¹ × 11¹ × 43¹
LCM(42564,42570) = 301991580