What is the Least Common Multiple of 91539 and 91545?

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 91539 and 91545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91539 and 91545, than apply into the LCM equation.

GCF(91539,91545) = 3
LCM(91539,91545) = ( 91539 × 91545) / 3
LCM(91539,91545) = 8379937755 / 3
LCM(91539,91545) = 2793312585

Least Common Multiple (LCM) of 91539 and 91545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91539 and 91545. First we will calculate the prime factors of 91539 and 91545.

Prime Factorization of 91539

Prime Factorization of 91545

Now multiplying the highest exponent prime factors to calculate the LCM of 91539 and 91545.

LCM(91539,91545) = 3² × 7¹ × 1453¹ × 5¹ × 17¹ × 359¹
LCM(91539,91545) = 2793312585