What is the Least Common Multiple of 37178 and 37197?

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 37178 and 37197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37178 and 37197, than apply into the LCM equation.

GCF(37178,37197) = 1
LCM(37178,37197) = ( 37178 × 37197) / 1
LCM(37178,37197) = 1382910066 / 1
LCM(37178,37197) = 1382910066

Least Common Multiple (LCM) of 37178 and 37197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37178 and 37197. First we will calculate the prime factors of 37178 and 37197.

Prime Factorization of 37178

Prime Factorization of 37197

Now multiplying the highest exponent prime factors to calculate the LCM of 37178 and 37197.

LCM(37178,37197) = 2¹ × 29¹ × 641¹ × 3² × 4133¹
LCM(37178,37197) = 1382910066