What is the Least Common Multiple of 89848 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 89848 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 89848 and 89856, than apply into the LCM equation.

GCF(89848,89856) = 8
LCM(89848,89856) = ( 89848 × 89856) / 8
LCM(89848,89856) = 8073381888 / 8
LCM(89848,89856) = 1009172736

Least Common Multiple (LCM) of 89848 and 89856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89848 and 89856. First we will calculate the prime factors of 89848 and 89856.

Prime Factorization of 89848

Prime Factorization of 89856

Now multiplying the highest exponent prime factors to calculate the LCM of 89848 and 89856.

LCM(89848,89856) = 2⁸ × 11¹ × 1021¹ × 3³ × 13¹
LCM(89848,89856) = 1009172736