What is the Least Common Multiple of 88872 and 88888?

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 88872 and 88888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88872 and 88888, than apply into the LCM equation.

GCF(88872,88888) = 8
LCM(88872,88888) = ( 88872 × 88888) / 8
LCM(88872,88888) = 7899654336 / 8
LCM(88872,88888) = 987456792

Least Common Multiple (LCM) of 88872 and 88888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88872 and 88888. First we will calculate the prime factors of 88872 and 88888.

Prime Factorization of 88872

Prime Factorization of 88888

Now multiplying the highest exponent prime factors to calculate the LCM of 88872 and 88888.

LCM(88872,88888) = 2³ × 3¹ × 7¹ × 23² × 41¹ × 271¹
LCM(88872,88888) = 987456792