What is the Least Common Multiple of 36315 and 36324?

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 36315 and 36324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36315 and 36324, than apply into the LCM equation.

GCF(36315,36324) = 9
LCM(36315,36324) = ( 36315 × 36324) / 9
LCM(36315,36324) = 1319106060 / 9
LCM(36315,36324) = 146567340

Least Common Multiple (LCM) of 36315 and 36324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36315 and 36324. First we will calculate the prime factors of 36315 and 36324.

Prime Factorization of 36315

Prime Factorization of 36324

Now multiplying the highest exponent prime factors to calculate the LCM of 36315 and 36324.

LCM(36315,36324) = 3³ × 5¹ × 269¹ × 2² × 1009¹
LCM(36315,36324) = 146567340