What is the Least Common Multiple of 48171 and 48177?

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 48171 and 48177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48171 and 48177, than apply into the LCM equation.

GCF(48171,48177) = 3
LCM(48171,48177) = ( 48171 × 48177) / 3
LCM(48171,48177) = 2320734267 / 3
LCM(48171,48177) = 773578089

Least Common Multiple (LCM) of 48171 and 48177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48171 and 48177. First we will calculate the prime factors of 48171 and 48177.

Prime Factorization of 48171

Prime Factorization of 48177

Now multiplying the highest exponent prime factors to calculate the LCM of 48171 and 48177.

LCM(48171,48177) = 3² × 16057¹ × 53¹ × 101¹
LCM(48171,48177) = 773578089