What is the Least Common Multiple of 96912 and 96924?

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 96912 and 96924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96912 and 96924, than apply into the LCM equation.

GCF(96912,96924) = 12
LCM(96912,96924) = ( 96912 × 96924) / 12
LCM(96912,96924) = 9393098688 / 12
LCM(96912,96924) = 782758224

Least Common Multiple (LCM) of 96912 and 96924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96912 and 96924. First we will calculate the prime factors of 96912 and 96924.

Prime Factorization of 96912

Prime Factorization of 96924

Now multiplying the highest exponent prime factors to calculate the LCM of 96912 and 96924.

LCM(96912,96924) = 2⁴ × 3² × 673¹ × 41¹ × 197¹
LCM(96912,96924) = 782758224