What is the Least Common Multiple of 99792 and 99812?

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 99812 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 99812, than apply into the LCM equation.

GCF(99792,99812) = 4
LCM(99792,99812) = ( 99792 × 99812) / 4
LCM(99792,99812) = 9960439104 / 4
LCM(99792,99812) = 2490109776

Least Common Multiple (LCM) of 99792 and 99812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99792 and 99812. First we will calculate the prime factors of 99792 and 99812.

Prime Factorization of 99792

Prime Factorization of 99812

Now multiplying the highest exponent prime factors to calculate the LCM of 99792 and 99812.

LCM(99792,99812) = 2⁴ × 3⁴ × 7¹ × 11¹ × 24953¹
LCM(99792,99812) = 2490109776