What is the Least Common Multiple of 37272 and 37280?

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 37272 and 37280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37272 and 37280, than apply into the LCM equation.

GCF(37272,37280) = 8
LCM(37272,37280) = ( 37272 × 37280) / 8
LCM(37272,37280) = 1389500160 / 8
LCM(37272,37280) = 173687520

Least Common Multiple (LCM) of 37272 and 37280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37272 and 37280. First we will calculate the prime factors of 37272 and 37280.

Prime Factorization of 37272

Prime Factorization of 37280

Now multiplying the highest exponent prime factors to calculate the LCM of 37272 and 37280.

LCM(37272,37280) = 2⁵ × 3¹ × 1553¹ × 5¹ × 233¹
LCM(37272,37280) = 173687520