What is the Least Common Multiple of 60285 and 60294?

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 60285 and 60294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60285 and 60294, than apply into the LCM equation.

GCF(60285,60294) = 3
LCM(60285,60294) = ( 60285 × 60294) / 3
LCM(60285,60294) = 3634823790 / 3
LCM(60285,60294) = 1211607930

Least Common Multiple (LCM) of 60285 and 60294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60285 and 60294. First we will calculate the prime factors of 60285 and 60294.

Prime Factorization of 60285

Prime Factorization of 60294

Now multiplying the highest exponent prime factors to calculate the LCM of 60285 and 60294.

LCM(60285,60294) = 3¹ × 5¹ × 4019¹ × 2¹ × 13¹ × 773¹
LCM(60285,60294) = 1211607930