What is the Least Common Multiple of 37208 and 37216?

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 37208 and 37216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37208 and 37216, than apply into the LCM equation.

GCF(37208,37216) = 8
LCM(37208,37216) = ( 37208 × 37216) / 8
LCM(37208,37216) = 1384732928 / 8
LCM(37208,37216) = 173091616

Least Common Multiple (LCM) of 37208 and 37216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37208 and 37216. First we will calculate the prime factors of 37208 and 37216.

Prime Factorization of 37208

Prime Factorization of 37216

Now multiplying the highest exponent prime factors to calculate the LCM of 37208 and 37216.

LCM(37208,37216) = 2⁵ × 4651¹ × 1163¹
LCM(37208,37216) = 173091616