What is the Least Common Multiple of 37791 and 37806?

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 37791 and 37806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37791 and 37806, than apply into the LCM equation.

GCF(37791,37806) = 3
LCM(37791,37806) = ( 37791 × 37806) / 3
LCM(37791,37806) = 1428726546 / 3
LCM(37791,37806) = 476242182

Least Common Multiple (LCM) of 37791 and 37806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37791 and 37806. First we will calculate the prime factors of 37791 and 37806.

Prime Factorization of 37791

Prime Factorization of 37806

Now multiplying the highest exponent prime factors to calculate the LCM of 37791 and 37806.

LCM(37791,37806) = 3² × 13¹ × 17¹ × 19¹ × 2¹ × 6301¹
LCM(37791,37806) = 476242182