What is the Least Common Multiple of 37812 and 37827?

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 37812 and 37827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37812 and 37827, than apply into the LCM equation.

GCF(37812,37827) = 3
LCM(37812,37827) = ( 37812 × 37827) / 3
LCM(37812,37827) = 1430314524 / 3
LCM(37812,37827) = 476771508

Least Common Multiple (LCM) of 37812 and 37827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37812 and 37827. First we will calculate the prime factors of 37812 and 37827.

Prime Factorization of 37812

Prime Factorization of 37827

Now multiplying the highest exponent prime factors to calculate the LCM of 37812 and 37827.

LCM(37812,37827) = 2² × 3⁴ × 23¹ × 137¹ × 467¹
LCM(37812,37827) = 476771508