What is the Least Common Multiple of 95688 and 95696?

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 95688 and 95696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95688 and 95696, than apply into the LCM equation.

GCF(95688,95696) = 8
LCM(95688,95696) = ( 95688 × 95696) / 8
LCM(95688,95696) = 9156958848 / 8
LCM(95688,95696) = 1144619856

Least Common Multiple (LCM) of 95688 and 95696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95688 and 95696. First we will calculate the prime factors of 95688 and 95696.

Prime Factorization of 95688

Prime Factorization of 95696

Now multiplying the highest exponent prime factors to calculate the LCM of 95688 and 95696.

LCM(95688,95696) = 2⁴ × 3³ × 443¹ × 5981¹
LCM(95688,95696) = 1144619856