What is the Least Common Multiple of 75138 and 75158?

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 75138 and 75158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75138 and 75158, than apply into the LCM equation.

GCF(75138,75158) = 2
LCM(75138,75158) = ( 75138 × 75158) / 2
LCM(75138,75158) = 5647221804 / 2
LCM(75138,75158) = 2823610902

Least Common Multiple (LCM) of 75138 and 75158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75138 and 75158. First we will calculate the prime factors of 75138 and 75158.

Prime Factorization of 75138

Prime Factorization of 75158

Now multiplying the highest exponent prime factors to calculate the LCM of 75138 and 75158.

LCM(75138,75158) = 2¹ × 3¹ × 7¹ × 1789¹ × 37579¹
LCM(75138,75158) = 2823610902