What is the Least Common Multiple of 96640 and 96646?

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 96640 and 96646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96640 and 96646, than apply into the LCM equation.

GCF(96640,96646) = 2
LCM(96640,96646) = ( 96640 × 96646) / 2
LCM(96640,96646) = 9339869440 / 2
LCM(96640,96646) = 4669934720

Least Common Multiple (LCM) of 96640 and 96646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96640 and 96646. First we will calculate the prime factors of 96640 and 96646.

Prime Factorization of 96640

Prime Factorization of 96646

Now multiplying the highest exponent prime factors to calculate the LCM of 96640 and 96646.

LCM(96640,96646) = 2⁷ × 5¹ × 151¹ × 11¹ × 23¹ × 191¹
LCM(96640,96646) = 4669934720