What is the Least Common Multiple of 89568 and 89577?

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 89568 and 89577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89568 and 89577, than apply into the LCM equation.

GCF(89568,89577) = 9
LCM(89568,89577) = ( 89568 × 89577) / 9
LCM(89568,89577) = 8023232736 / 9
LCM(89568,89577) = 891470304

Least Common Multiple (LCM) of 89568 and 89577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89568 and 89577. First we will calculate the prime factors of 89568 and 89577.

Prime Factorization of 89568

Prime Factorization of 89577

Now multiplying the highest exponent prime factors to calculate the LCM of 89568 and 89577.

LCM(89568,89577) = 2⁵ × 3² × 311¹ × 37¹ × 269¹
LCM(89568,89577) = 891470304