What is the Least Common Multiple of 37793 and 37812?

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 37793 and 37812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37793 and 37812, than apply into the LCM equation.

GCF(37793,37812) = 1
LCM(37793,37812) = ( 37793 × 37812) / 1
LCM(37793,37812) = 1429028916 / 1
LCM(37793,37812) = 1429028916

Least Common Multiple (LCM) of 37793 and 37812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37793 and 37812. First we will calculate the prime factors of 37793 and 37812.

Prime Factorization of 37793

Prime Factorization of 37812

Now multiplying the highest exponent prime factors to calculate the LCM of 37793 and 37812.

LCM(37793,37812) = 7¹ × 5399¹ × 2² × 3¹ × 23¹ × 137¹
LCM(37793,37812) = 1429028916