What is the Least Common Multiple of 37617 and 37632?

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 37617 and 37632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37617 and 37632, than apply into the LCM equation.

GCF(37617,37632) = 3
LCM(37617,37632) = ( 37617 × 37632) / 3
LCM(37617,37632) = 1415602944 / 3
LCM(37617,37632) = 471867648

Least Common Multiple (LCM) of 37617 and 37632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37617 and 37632. First we will calculate the prime factors of 37617 and 37632.

Prime Factorization of 37617

Prime Factorization of 37632

Now multiplying the highest exponent prime factors to calculate the LCM of 37617 and 37632.

LCM(37617,37632) = 3¹ × 12539¹ × 2⁸ × 7²
LCM(37617,37632) = 471867648