What is the Least Common Multiple of 59577 and 59591?

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 59577 and 59591 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59577 and 59591, than apply into the LCM equation.

GCF(59577,59591) = 7
LCM(59577,59591) = ( 59577 × 59591) / 7
LCM(59577,59591) = 3550253007 / 7
LCM(59577,59591) = 507179001

Least Common Multiple (LCM) of 59577 and 59591 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59577 and 59591. First we will calculate the prime factors of 59577 and 59591.

Prime Factorization of 59577

Prime Factorization of 59591

Now multiplying the highest exponent prime factors to calculate the LCM of 59577 and 59591.

LCM(59577,59591) = 3¹ × 7¹ × 2837¹ × 8513¹
LCM(59577,59591) = 507179001