What is the Least Common Multiple of 37806 and 37822?

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 37806 and 37822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37806 and 37822, than apply into the LCM equation.

GCF(37806,37822) = 2
LCM(37806,37822) = ( 37806 × 37822) / 2
LCM(37806,37822) = 1429898532 / 2
LCM(37806,37822) = 714949266

Least Common Multiple (LCM) of 37806 and 37822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37806 and 37822. First we will calculate the prime factors of 37806 and 37822.

Prime Factorization of 37806

Prime Factorization of 37822

Now multiplying the highest exponent prime factors to calculate the LCM of 37806 and 37822.

LCM(37806,37822) = 2¹ × 3¹ × 6301¹ × 18911¹
LCM(37806,37822) = 714949266