What is the Least Common Multiple of 60084 and 60093?

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 60084 and 60093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60084 and 60093, than apply into the LCM equation.

GCF(60084,60093) = 9
LCM(60084,60093) = ( 60084 × 60093) / 9
LCM(60084,60093) = 3610627812 / 9
LCM(60084,60093) = 401180868

Least Common Multiple (LCM) of 60084 and 60093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60084 and 60093. First we will calculate the prime factors of 60084 and 60093.

Prime Factorization of 60084

Prime Factorization of 60093

Now multiplying the highest exponent prime factors to calculate the LCM of 60084 and 60093.

LCM(60084,60093) = 2² × 3² × 1669¹ × 11¹ × 607¹
LCM(60084,60093) = 401180868