What is the Least Common Multiple of 85538 and 85557?

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 85538 and 85557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85538 and 85557, than apply into the LCM equation.

GCF(85538,85557) = 19
LCM(85538,85557) = ( 85538 × 85557) / 19
LCM(85538,85557) = 7318374666 / 19
LCM(85538,85557) = 385177614

Least Common Multiple (LCM) of 85538 and 85557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85538 and 85557. First we will calculate the prime factors of 85538 and 85557.

Prime Factorization of 85538

Prime Factorization of 85557

Now multiplying the highest exponent prime factors to calculate the LCM of 85538 and 85557.

LCM(85538,85557) = 2¹ × 19² × 2251¹ × 3¹ × 79¹
LCM(85538,85557) = 385177614