What is the Least Common Multiple of 96894 and 96907?

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 96907 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 96907, than apply into the LCM equation.

GCF(96894,96907) = 1
LCM(96894,96907) = ( 96894 × 96907) / 1
LCM(96894,96907) = 9389706858 / 1
LCM(96894,96907) = 9389706858

Least Common Multiple (LCM) of 96894 and 96907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96894 and 96907. First we will calculate the prime factors of 96894 and 96907.

Prime Factorization of 96894

Prime Factorization of 96907

Now multiplying the highest exponent prime factors to calculate the LCM of 96894 and 96907.

LCM(96894,96907) = 2¹ × 3² × 7¹ × 769¹ × 96907¹
LCM(96894,96907) = 9389706858