What is the Least Common Multiple of 96804 and 96824?

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 96804 and 96824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96804 and 96824, than apply into the LCM equation.

GCF(96804,96824) = 4
LCM(96804,96824) = ( 96804 × 96824) / 4
LCM(96804,96824) = 9372950496 / 4
LCM(96804,96824) = 2343237624

Least Common Multiple (LCM) of 96804 and 96824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96804 and 96824. First we will calculate the prime factors of 96804 and 96824.

Prime Factorization of 96804

Prime Factorization of 96824

Now multiplying the highest exponent prime factors to calculate the LCM of 96804 and 96824.

LCM(96804,96824) = 2³ × 3² × 2689¹ × 7² × 13¹ × 19¹
LCM(96804,96824) = 2343237624