What is the Least Common Multiple of 95734 and 95742?

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 95734 and 95742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95734 and 95742, than apply into the LCM equation.

GCF(95734,95742) = 2
LCM(95734,95742) = ( 95734 × 95742) / 2
LCM(95734,95742) = 9165764628 / 2
LCM(95734,95742) = 4582882314

Least Common Multiple (LCM) of 95734 and 95742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95734 and 95742. First we will calculate the prime factors of 95734 and 95742.

Prime Factorization of 95734

Prime Factorization of 95742

Now multiplying the highest exponent prime factors to calculate the LCM of 95734 and 95742.

LCM(95734,95742) = 2¹ × 151¹ × 317¹ × 3⁵ × 197¹
LCM(95734,95742) = 4582882314