What is the Least Common Multiple of 60128 and 60138?

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 60128 and 60138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60128 and 60138, than apply into the LCM equation.

GCF(60128,60138) = 2
LCM(60128,60138) = ( 60128 × 60138) / 2
LCM(60128,60138) = 3615977664 / 2
LCM(60128,60138) = 1807988832

Least Common Multiple (LCM) of 60128 and 60138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60128 and 60138. First we will calculate the prime factors of 60128 and 60138.

Prime Factorization of 60128

Prime Factorization of 60138

Now multiplying the highest exponent prime factors to calculate the LCM of 60128 and 60138.

LCM(60128,60138) = 2⁵ × 1879¹ × 3² × 13¹ × 257¹
LCM(60128,60138) = 1807988832