What is the Least Common Multiple of 96408 and 96416?

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 96408 and 96416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96408 and 96416, than apply into the LCM equation.

GCF(96408,96416) = 8
LCM(96408,96416) = ( 96408 × 96416) / 8
LCM(96408,96416) = 9295273728 / 8
LCM(96408,96416) = 1161909216

Least Common Multiple (LCM) of 96408 and 96416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96408 and 96416. First we will calculate the prime factors of 96408 and 96416.

Prime Factorization of 96408

Prime Factorization of 96416

Now multiplying the highest exponent prime factors to calculate the LCM of 96408 and 96416.

LCM(96408,96416) = 2⁵ × 3² × 13¹ × 103¹ × 23¹ × 131¹
LCM(96408,96416) = 1161909216