What is the Least Common Multiple of 37705 and 37725?

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 37705 and 37725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37705 and 37725, than apply into the LCM equation.

GCF(37705,37725) = 5
LCM(37705,37725) = ( 37705 × 37725) / 5
LCM(37705,37725) = 1422421125 / 5
LCM(37705,37725) = 284484225

Least Common Multiple (LCM) of 37705 and 37725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37705 and 37725. First we will calculate the prime factors of 37705 and 37725.

Prime Factorization of 37705

Prime Factorization of 37725

Now multiplying the highest exponent prime factors to calculate the LCM of 37705 and 37725.

LCM(37705,37725) = 5² × 7541¹ × 3¹ × 503¹
LCM(37705,37725) = 284484225