What is the Least Common Multiple of 60294 and 60302?

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 60302 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 60302, than apply into the LCM equation.

GCF(60294,60302) = 2
LCM(60294,60302) = ( 60294 × 60302) / 2
LCM(60294,60302) = 3635848788 / 2
LCM(60294,60302) = 1817924394

Least Common Multiple (LCM) of 60294 and 60302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60294 and 60302. First we will calculate the prime factors of 60294 and 60302.

Prime Factorization of 60294

Prime Factorization of 60302

Now multiplying the highest exponent prime factors to calculate the LCM of 60294 and 60302.

LCM(60294,60302) = 2¹ × 3¹ × 13¹ × 773¹ × 11¹ × 2741¹
LCM(60294,60302) = 1817924394