What is the Least Common Multiple of 37632 and 37638?

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 37632 and 37638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37632 and 37638, than apply into the LCM equation.

GCF(37632,37638) = 6
LCM(37632,37638) = ( 37632 × 37638) / 6
LCM(37632,37638) = 1416393216 / 6
LCM(37632,37638) = 236065536

Least Common Multiple (LCM) of 37632 and 37638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37632 and 37638. First we will calculate the prime factors of 37632 and 37638.

Prime Factorization of 37632

Prime Factorization of 37638

Now multiplying the highest exponent prime factors to calculate the LCM of 37632 and 37638.

LCM(37632,37638) = 2⁸ × 3³ × 7² × 17¹ × 41¹
LCM(37632,37638) = 236065536