What is the Least Common Multiple of 96875 and 96894?

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 96875 and 96894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96875 and 96894, than apply into the LCM equation.

GCF(96875,96894) = 1
LCM(96875,96894) = ( 96875 × 96894) / 1
LCM(96875,96894) = 9386606250 / 1
LCM(96875,96894) = 9386606250

Least Common Multiple (LCM) of 96875 and 96894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96875 and 96894. First we will calculate the prime factors of 96875 and 96894.

Prime Factorization of 96875

Prime Factorization of 96894

Now multiplying the highest exponent prime factors to calculate the LCM of 96875 and 96894.

LCM(96875,96894) = 5⁵ × 31¹ × 2¹ × 3² × 7¹ × 769¹
LCM(96875,96894) = 9386606250