What is the Least Common Multiple of 37175 and 37183?

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 37175 and 37183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37175 and 37183, than apply into the LCM equation.

GCF(37175,37183) = 1
LCM(37175,37183) = ( 37175 × 37183) / 1
LCM(37175,37183) = 1382278025 / 1
LCM(37175,37183) = 1382278025

Least Common Multiple (LCM) of 37175 and 37183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37175 and 37183. First we will calculate the prime factors of 37175 and 37183.

Prime Factorization of 37175

Prime Factorization of 37183

Now multiplying the highest exponent prime factors to calculate the LCM of 37175 and 37183.

LCM(37175,37183) = 5² × 1487¹ × 19² × 103¹
LCM(37175,37183) = 1382278025