What is the Least Common Multiple of 37604 and 37612?

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 37604 and 37612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37604 and 37612, than apply into the LCM equation.

GCF(37604,37612) = 4
LCM(37604,37612) = ( 37604 × 37612) / 4
LCM(37604,37612) = 1414361648 / 4
LCM(37604,37612) = 353590412

Least Common Multiple (LCM) of 37604 and 37612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37604 and 37612. First we will calculate the prime factors of 37604 and 37612.

Prime Factorization of 37604

Prime Factorization of 37612

Now multiplying the highest exponent prime factors to calculate the LCM of 37604 and 37612.

LCM(37604,37612) = 2² × 7¹ × 17¹ × 79¹ × 9403¹
LCM(37604,37612) = 353590412