What is the Least Common Multiple of 96894 and 96902?

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 96902 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 96902, than apply into the LCM equation.

GCF(96894,96902) = 2
LCM(96894,96902) = ( 96894 × 96902) / 2
LCM(96894,96902) = 9389222388 / 2
LCM(96894,96902) = 4694611194

Least Common Multiple (LCM) of 96894 and 96902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96894 and 96902. First we will calculate the prime factors of 96894 and 96902.

Prime Factorization of 96894

Prime Factorization of 96902

Now multiplying the highest exponent prime factors to calculate the LCM of 96894 and 96902.

LCM(96894,96902) = 2¹ × 3² × 7¹ × 769¹ × 13¹ × 3727¹
LCM(96894,96902) = 4694611194