What is the Least Common Multiple of 95075 and 95089?

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 95075 and 95089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95075 and 95089, than apply into the LCM equation.

GCF(95075,95089) = 1
LCM(95075,95089) = ( 95075 × 95089) / 1
LCM(95075,95089) = 9040586675 / 1
LCM(95075,95089) = 9040586675

Least Common Multiple (LCM) of 95075 and 95089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95075 and 95089. First we will calculate the prime factors of 95075 and 95089.

Prime Factorization of 95075

Prime Factorization of 95089

Now multiplying the highest exponent prime factors to calculate the LCM of 95075 and 95089.

LCM(95075,95089) = 5² × 3803¹ × 95089¹
LCM(95075,95089) = 9040586675