What is the Least Common Multiple of 37632 and 37644?

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 37644 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 37644, than apply into the LCM equation.

GCF(37632,37644) = 12
LCM(37632,37644) = ( 37632 × 37644) / 12
LCM(37632,37644) = 1416619008 / 12
LCM(37632,37644) = 118051584

Least Common Multiple (LCM) of 37632 and 37644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37632 and 37644. First we will calculate the prime factors of 37632 and 37644.

Prime Factorization of 37632

Prime Factorization of 37644

Now multiplying the highest exponent prime factors to calculate the LCM of 37632 and 37644.

LCM(37632,37644) = 2⁸ × 3¹ × 7² × 3137¹
LCM(37632,37644) = 118051584