What is the Least Common Multiple of 59535 and 59545?

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 59535 and 59545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59535 and 59545, than apply into the LCM equation.

GCF(59535,59545) = 5
LCM(59535,59545) = ( 59535 × 59545) / 5
LCM(59535,59545) = 3545011575 / 5
LCM(59535,59545) = 709002315

Least Common Multiple (LCM) of 59535 and 59545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59535 and 59545. First we will calculate the prime factors of 59535 and 59545.

Prime Factorization of 59535

Prime Factorization of 59545

Now multiplying the highest exponent prime factors to calculate the LCM of 59535 and 59545.

LCM(59535,59545) = 3⁵ × 5¹ × 7² × 11909¹
LCM(59535,59545) = 709002315