What is the Least Common Multiple of 60138 and 60158?

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 60158 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 60158, than apply into the LCM equation.

GCF(60138,60158) = 2
LCM(60138,60158) = ( 60138 × 60158) / 2
LCM(60138,60158) = 3617781804 / 2
LCM(60138,60158) = 1808890902

Least Common Multiple (LCM) of 60138 and 60158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60138 and 60158. First we will calculate the prime factors of 60138 and 60158.

Prime Factorization of 60138

Prime Factorization of 60158

Now multiplying the highest exponent prime factors to calculate the LCM of 60138 and 60158.

LCM(60138,60158) = 2¹ × 3² × 13¹ × 257¹ × 7¹ × 4297¹
LCM(60138,60158) = 1808890902