What is the Least Common Multiple of 95892 and 95896?

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 95892 and 95896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95892 and 95896, than apply into the LCM equation.

GCF(95892,95896) = 4
LCM(95892,95896) = ( 95892 × 95896) / 4
LCM(95892,95896) = 9195659232 / 4
LCM(95892,95896) = 2298914808

Least Common Multiple (LCM) of 95892 and 95896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95892 and 95896. First we will calculate the prime factors of 95892 and 95896.

Prime Factorization of 95892

Prime Factorization of 95896

Now multiplying the highest exponent prime factors to calculate the LCM of 95892 and 95896.

LCM(95892,95896) = 2³ × 3¹ × 61¹ × 131¹ × 11987¹
LCM(95892,95896) = 2298914808