What is the Least Common Multiple of 95075 and 95091?

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 95091 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 95091, than apply into the LCM equation.

GCF(95075,95091) = 1
LCM(95075,95091) = ( 95075 × 95091) / 1
LCM(95075,95091) = 9040776825 / 1
LCM(95075,95091) = 9040776825

Least Common Multiple (LCM) of 95075 and 95091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95075 and 95091. First we will calculate the prime factors of 95075 and 95091.

Prime Factorization of 95075

Prime Factorization of 95091

Now multiplying the highest exponent prime factors to calculate the LCM of 95075 and 95091.

LCM(95075,95091) = 5² × 3803¹ × 3¹ × 29¹ × 1093¹
LCM(95075,95091) = 9040776825