What is the Least Common Multiple of 37407 and 37422?

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 37407 and 37422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37407 and 37422, than apply into the LCM equation.

GCF(37407,37422) = 3
LCM(37407,37422) = ( 37407 × 37422) / 3
LCM(37407,37422) = 1399844754 / 3
LCM(37407,37422) = 466614918

Least Common Multiple (LCM) of 37407 and 37422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37407 and 37422. First we will calculate the prime factors of 37407 and 37422.

Prime Factorization of 37407

Prime Factorization of 37422

Now multiplying the highest exponent prime factors to calculate the LCM of 37407 and 37422.

LCM(37407,37422) = 3⁵ × 37¹ × 337¹ × 2¹ × 7¹ × 11¹
LCM(37407,37422) = 466614918