What is the Least Common Multiple of 36720 and 36735?

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 36720 and 36735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36720 and 36735, than apply into the LCM equation.

GCF(36720,36735) = 15
LCM(36720,36735) = ( 36720 × 36735) / 15
LCM(36720,36735) = 1348909200 / 15
LCM(36720,36735) = 89927280

Least Common Multiple (LCM) of 36720 and 36735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36720 and 36735. First we will calculate the prime factors of 36720 and 36735.

Prime Factorization of 36720

Prime Factorization of 36735

Now multiplying the highest exponent prime factors to calculate the LCM of 36720 and 36735.

LCM(36720,36735) = 2⁴ × 3³ × 5¹ × 17¹ × 31¹ × 79¹
LCM(36720,36735) = 89927280