What is the Least Common Multiple of 42570 and 42588?

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 42570 and 42588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42570 and 42588, than apply into the LCM equation.

GCF(42570,42588) = 18
LCM(42570,42588) = ( 42570 × 42588) / 18
LCM(42570,42588) = 1812971160 / 18
LCM(42570,42588) = 100720620

Least Common Multiple (LCM) of 42570 and 42588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42570 and 42588. First we will calculate the prime factors of 42570 and 42588.

Prime Factorization of 42570

Prime Factorization of 42588

Now multiplying the highest exponent prime factors to calculate the LCM of 42570 and 42588.

LCM(42570,42588) = 2² × 3² × 5¹ × 11¹ × 43¹ × 7¹ × 13²
LCM(42570,42588) = 100720620