What is the Least Common Multiple of 60138 and 60142?

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 60138 and 60142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60138 and 60142, than apply into the LCM equation.

GCF(60138,60142) = 2
LCM(60138,60142) = ( 60138 × 60142) / 2
LCM(60138,60142) = 3616819596 / 2
LCM(60138,60142) = 1808409798

Least Common Multiple (LCM) of 60138 and 60142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60138 and 60142. First we will calculate the prime factors of 60138 and 60142.

Prime Factorization of 60138

Prime Factorization of 60142

Now multiplying the highest exponent prime factors to calculate the LCM of 60138 and 60142.

LCM(60138,60142) = 2¹ × 3² × 13¹ × 257¹ × 30071¹
LCM(60138,60142) = 1808409798