What is the Least Common Multiple of 99792 and 99804?

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 99792 and 99804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99792 and 99804, than apply into the LCM equation.

GCF(99792,99804) = 12
LCM(99792,99804) = ( 99792 × 99804) / 12
LCM(99792,99804) = 9959640768 / 12
LCM(99792,99804) = 829970064

Least Common Multiple (LCM) of 99792 and 99804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99792 and 99804. First we will calculate the prime factors of 99792 and 99804.

Prime Factorization of 99792

Prime Factorization of 99804

Now multiplying the highest exponent prime factors to calculate the LCM of 99792 and 99804.

LCM(99792,99804) = 2⁴ × 3⁴ × 7¹ × 11¹ × 8317¹
LCM(99792,99804) = 829970064