What is the Least Common Multiple of 95742 and 95747?

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 95742 and 95747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95742 and 95747, than apply into the LCM equation.

GCF(95742,95747) = 1
LCM(95742,95747) = ( 95742 × 95747) / 1
LCM(95742,95747) = 9167009274 / 1
LCM(95742,95747) = 9167009274

Least Common Multiple (LCM) of 95742 and 95747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95742 and 95747. First we will calculate the prime factors of 95742 and 95747.

Prime Factorization of 95742

Prime Factorization of 95747

Now multiplying the highest exponent prime factors to calculate the LCM of 95742 and 95747.

LCM(95742,95747) = 2¹ × 3⁵ × 197¹ × 95747¹
LCM(95742,95747) = 9167009274