What is the Least Common Multiple of 89852 and 89856?

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 89852 and 89856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89852 and 89856, than apply into the LCM equation.

GCF(89852,89856) = 4
LCM(89852,89856) = ( 89852 × 89856) / 4
LCM(89852,89856) = 8073741312 / 4
LCM(89852,89856) = 2018435328

Least Common Multiple (LCM) of 89852 and 89856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89852 and 89856. First we will calculate the prime factors of 89852 and 89856.

Prime Factorization of 89852

Prime Factorization of 89856

Now multiplying the highest exponent prime factors to calculate the LCM of 89852 and 89856.

LCM(89852,89856) = 2⁸ × 7¹ × 3209¹ × 3³ × 13¹
LCM(89852,89856) = 2018435328