What is the Least Common Multiple of 95742 and 95756?

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 95756 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 95756, than apply into the LCM equation.

GCF(95742,95756) = 2
LCM(95742,95756) = ( 95742 × 95756) / 2
LCM(95742,95756) = 9167870952 / 2
LCM(95742,95756) = 4583935476

Least Common Multiple (LCM) of 95742 and 95756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95742 and 95756. First we will calculate the prime factors of 95742 and 95756.

Prime Factorization of 95742

Prime Factorization of 95756

Now multiplying the highest exponent prime factors to calculate the LCM of 95742 and 95756.

LCM(95742,95756) = 2² × 3⁵ × 197¹ × 37¹ × 647¹
LCM(95742,95756) = 4583935476