What is the Least Common Multiple of 89577 and 89591?

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 89577 and 89591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89577 and 89591, than apply into the LCM equation.

GCF(89577,89591) = 1
LCM(89577,89591) = ( 89577 × 89591) / 1
LCM(89577,89591) = 8025293007 / 1
LCM(89577,89591) = 8025293007

Least Common Multiple (LCM) of 89577 and 89591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89577 and 89591. First we will calculate the prime factors of 89577 and 89591.

Prime Factorization of 89577

Prime Factorization of 89591

Now multiplying the highest exponent prime factors to calculate the LCM of 89577 and 89591.

LCM(89577,89591) = 3² × 37¹ × 269¹ × 89591¹
LCM(89577,89591) = 8025293007