What is the Least Common Multiple of 37197 and 37203?

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 37197 and 37203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37197 and 37203, than apply into the LCM equation.

GCF(37197,37203) = 3
LCM(37197,37203) = ( 37197 × 37203) / 3
LCM(37197,37203) = 1383839991 / 3
LCM(37197,37203) = 461279997

Least Common Multiple (LCM) of 37197 and 37203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37197 and 37203. First we will calculate the prime factors of 37197 and 37203.

Prime Factorization of 37197

Prime Factorization of 37203

Now multiplying the highest exponent prime factors to calculate the LCM of 37197 and 37203.

LCM(37197,37203) = 3² × 4133¹ × 12401¹
LCM(37197,37203) = 461279997