What is the Least Common Multiple of 37088 and 37108?

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 37088 and 37108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37088 and 37108, than apply into the LCM equation.

GCF(37088,37108) = 4
LCM(37088,37108) = ( 37088 × 37108) / 4
LCM(37088,37108) = 1376261504 / 4
LCM(37088,37108) = 344065376

Least Common Multiple (LCM) of 37088 and 37108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37088 and 37108. First we will calculate the prime factors of 37088 and 37108.

Prime Factorization of 37088

Prime Factorization of 37108

Now multiplying the highest exponent prime factors to calculate the LCM of 37088 and 37108.

LCM(37088,37108) = 2⁵ × 19¹ × 61¹ × 9277¹
LCM(37088,37108) = 344065376