What is the Least Common Multiple of 37664 and 37676?

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 37664 and 37676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37664 and 37676, than apply into the LCM equation.

GCF(37664,37676) = 4
LCM(37664,37676) = ( 37664 × 37676) / 4
LCM(37664,37676) = 1419028864 / 4
LCM(37664,37676) = 354757216

Least Common Multiple (LCM) of 37664 and 37676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37664 and 37676. First we will calculate the prime factors of 37664 and 37676.

Prime Factorization of 37664

Prime Factorization of 37676

Now multiplying the highest exponent prime factors to calculate the LCM of 37664 and 37676.

LCM(37664,37676) = 2⁵ × 11¹ × 107¹ × 9419¹
LCM(37664,37676) = 354757216