What is the Least Common Multiple of 37376 and 37395?

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 37376 and 37395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37376 and 37395, than apply into the LCM equation.

GCF(37376,37395) = 1
LCM(37376,37395) = ( 37376 × 37395) / 1
LCM(37376,37395) = 1397675520 / 1
LCM(37376,37395) = 1397675520

Least Common Multiple (LCM) of 37376 and 37395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37376 and 37395. First we will calculate the prime factors of 37376 and 37395.

Prime Factorization of 37376

Prime Factorization of 37395

Now multiplying the highest exponent prime factors to calculate the LCM of 37376 and 37395.

LCM(37376,37395) = 2⁹ × 73¹ × 3³ × 5¹ × 277¹
LCM(37376,37395) = 1397675520