What is the Least Common Multiple of 89856 and 89876?

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 89856 and 89876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89856 and 89876, than apply into the LCM equation.

GCF(89856,89876) = 4
LCM(89856,89876) = ( 89856 × 89876) / 4
LCM(89856,89876) = 8075897856 / 4
LCM(89856,89876) = 2018974464

Least Common Multiple (LCM) of 89856 and 89876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89856 and 89876. First we will calculate the prime factors of 89856 and 89876.

Prime Factorization of 89856

Prime Factorization of 89876

Now multiplying the highest exponent prime factors to calculate the LCM of 89856 and 89876.

LCM(89856,89876) = 2⁸ × 3³ × 13¹ × 22469¹
LCM(89856,89876) = 2018974464