What is the Least Common Multiple of 92556 and 92572?

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 92556 and 92572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92556 and 92572, than apply into the LCM equation.

GCF(92556,92572) = 4
LCM(92556,92572) = ( 92556 × 92572) / 4
LCM(92556,92572) = 8568094032 / 4
LCM(92556,92572) = 2142023508

Least Common Multiple (LCM) of 92556 and 92572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92556 and 92572. First we will calculate the prime factors of 92556 and 92572.

Prime Factorization of 92556

Prime Factorization of 92572

Now multiplying the highest exponent prime factors to calculate the LCM of 92556 and 92572.

LCM(92556,92572) = 2² × 3³ × 857¹ × 23143¹
LCM(92556,92572) = 2142023508