What is the Least Common Multiple of 96894 and 96909?

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 96894 and 96909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96894 and 96909, than apply into the LCM equation.

GCF(96894,96909) = 3
LCM(96894,96909) = ( 96894 × 96909) / 3
LCM(96894,96909) = 9389900646 / 3
LCM(96894,96909) = 3129966882

Least Common Multiple (LCM) of 96894 and 96909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96894 and 96909. First we will calculate the prime factors of 96894 and 96909.

Prime Factorization of 96894

Prime Factorization of 96909

Now multiplying the highest exponent prime factors to calculate the LCM of 96894 and 96909.

LCM(96894,96909) = 2¹ × 3² × 7¹ × 769¹ × 32303¹
LCM(96894,96909) = 3129966882