What is the Least Common Multiple of 75129 and 75138?

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 75129 and 75138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75129 and 75138, than apply into the LCM equation.

GCF(75129,75138) = 3
LCM(75129,75138) = ( 75129 × 75138) / 3
LCM(75129,75138) = 5645042802 / 3
LCM(75129,75138) = 1881680934

Least Common Multiple (LCM) of 75129 and 75138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75129 and 75138. First we will calculate the prime factors of 75129 and 75138.

Prime Factorization of 75129

Prime Factorization of 75138

Now multiplying the highest exponent prime factors to calculate the LCM of 75129 and 75138.

LCM(75129,75138) = 3¹ × 79¹ × 317¹ × 2¹ × 7¹ × 1789¹
LCM(75129,75138) = 1881680934