What is the Least Common Multiple of 96668 and 96686?

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 96668 and 96686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96668 and 96686, than apply into the LCM equation.

GCF(96668,96686) = 2
LCM(96668,96686) = ( 96668 × 96686) / 2
LCM(96668,96686) = 9346442248 / 2
LCM(96668,96686) = 4673221124

Least Common Multiple (LCM) of 96668 and 96686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96668 and 96686. First we will calculate the prime factors of 96668 and 96686.

Prime Factorization of 96668

Prime Factorization of 96686

Now multiplying the highest exponent prime factors to calculate the LCM of 96668 and 96686.

LCM(96668,96686) = 2² × 11¹ × 13³ × 29¹ × 1667¹
LCM(96668,96686) = 4673221124