What is the Least Common Multiple of 37608 and 37622?

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 37608 and 37622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37608 and 37622, than apply into the LCM equation.

GCF(37608,37622) = 2
LCM(37608,37622) = ( 37608 × 37622) / 2
LCM(37608,37622) = 1414888176 / 2
LCM(37608,37622) = 707444088

Least Common Multiple (LCM) of 37608 and 37622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37608 and 37622. First we will calculate the prime factors of 37608 and 37622.

Prime Factorization of 37608

Prime Factorization of 37622

Now multiplying the highest exponent prime factors to calculate the LCM of 37608 and 37622.

LCM(37608,37622) = 2³ × 3¹ × 1567¹ × 13¹ × 1447¹
LCM(37608,37622) = 707444088