What is the Least Common Multiple of 48180 and 48187?

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 48180 and 48187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48180 and 48187, than apply into the LCM equation.

GCF(48180,48187) = 1
LCM(48180,48187) = ( 48180 × 48187) / 1
LCM(48180,48187) = 2321649660 / 1
LCM(48180,48187) = 2321649660

Least Common Multiple (LCM) of 48180 and 48187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48180 and 48187. First we will calculate the prime factors of 48180 and 48187.

Prime Factorization of 48180

Prime Factorization of 48187

Now multiplying the highest exponent prime factors to calculate the LCM of 48180 and 48187.

LCM(48180,48187) = 2² × 3¹ × 5¹ × 11¹ × 73¹ × 48187¹
LCM(48180,48187) = 2321649660