What is the Least Common Multiple of 37536 and 37548?

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 37536 and 37548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37536 and 37548, than apply into the LCM equation.

GCF(37536,37548) = 12
LCM(37536,37548) = ( 37536 × 37548) / 12
LCM(37536,37548) = 1409401728 / 12
LCM(37536,37548) = 117450144

Least Common Multiple (LCM) of 37536 and 37548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37536 and 37548. First we will calculate the prime factors of 37536 and 37548.

Prime Factorization of 37536

Prime Factorization of 37548

Now multiplying the highest exponent prime factors to calculate the LCM of 37536 and 37548.

LCM(37536,37548) = 2⁵ × 3² × 17¹ × 23¹ × 7¹ × 149¹
LCM(37536,37548) = 117450144