What is the Least Common Multiple of 60294 and 60304?

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 60294 and 60304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60294 and 60304, than apply into the LCM equation.

GCF(60294,60304) = 2
LCM(60294,60304) = ( 60294 × 60304) / 2
LCM(60294,60304) = 3635969376 / 2
LCM(60294,60304) = 1817984688

Least Common Multiple (LCM) of 60294 and 60304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60294 and 60304. First we will calculate the prime factors of 60294 and 60304.

Prime Factorization of 60294

Prime Factorization of 60304

Now multiplying the highest exponent prime factors to calculate the LCM of 60294 and 60304.

LCM(60294,60304) = 2⁴ × 3¹ × 13¹ × 773¹ × 3769¹
LCM(60294,60304) = 1817984688