What is the Least Common Multiple of 95704 and 95724?

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 95704 and 95724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95704 and 95724, than apply into the LCM equation.

GCF(95704,95724) = 4
LCM(95704,95724) = ( 95704 × 95724) / 4
LCM(95704,95724) = 9161169696 / 4
LCM(95704,95724) = 2290292424

Least Common Multiple (LCM) of 95704 and 95724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95704 and 95724. First we will calculate the prime factors of 95704 and 95724.

Prime Factorization of 95704

Prime Factorization of 95724

Now multiplying the highest exponent prime factors to calculate the LCM of 95704 and 95724.

LCM(95704,95724) = 2³ × 7¹ × 1709¹ × 3² × 2659¹
LCM(95704,95724) = 2290292424