What is the Least Common Multiple of 17535 and 17545?

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 17535 and 17545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17535 and 17545, than apply into the LCM equation.

GCF(17535,17545) = 5
LCM(17535,17545) = ( 17535 × 17545) / 5
LCM(17535,17545) = 307651575 / 5
LCM(17535,17545) = 61530315

Least Common Multiple (LCM) of 17535 and 17545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17535 and 17545. First we will calculate the prime factors of 17535 and 17545.

Prime Factorization of 17535

Prime Factorization of 17545

Now multiplying the highest exponent prime factors to calculate the LCM of 17535 and 17545.

LCM(17535,17545) = 3¹ × 5¹ × 7¹ × 167¹ × 11² × 29¹
LCM(17535,17545) = 61530315