What is the Least Common Multiple of 95734 and 95751?

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 95751 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 95751, than apply into the LCM equation.

GCF(95734,95751) = 1
LCM(95734,95751) = ( 95734 × 95751) / 1
LCM(95734,95751) = 9166626234 / 1
LCM(95734,95751) = 9166626234

Least Common Multiple (LCM) of 95734 and 95751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95734 and 95751. First we will calculate the prime factors of 95734 and 95751.

Prime Factorization of 95734

Prime Factorization of 95751

Now multiplying the highest exponent prime factors to calculate the LCM of 95734 and 95751.

LCM(95734,95751) = 2¹ × 151¹ × 317¹ × 3² × 10639¹
LCM(95734,95751) = 9166626234