What is the Least Common Multiple of 96864 and 96870?

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 96864 and 96870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96864 and 96870, than apply into the LCM equation.

GCF(96864,96870) = 6
LCM(96864,96870) = ( 96864 × 96870) / 6
LCM(96864,96870) = 9383215680 / 6
LCM(96864,96870) = 1563869280

Least Common Multiple (LCM) of 96864 and 96870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96864 and 96870. First we will calculate the prime factors of 96864 and 96870.

Prime Factorization of 96864

Prime Factorization of 96870

Now multiplying the highest exponent prime factors to calculate the LCM of 96864 and 96870.

LCM(96864,96870) = 2⁵ × 3¹ × 1009¹ × 5¹ × 3229¹
LCM(96864,96870) = 1563869280