What is the Least Common Multiple of 99788 and 99808?

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 99788 and 99808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99788 and 99808, than apply into the LCM equation.

GCF(99788,99808) = 4
LCM(99788,99808) = ( 99788 × 99808) / 4
LCM(99788,99808) = 9959640704 / 4
LCM(99788,99808) = 2489910176

Least Common Multiple (LCM) of 99788 and 99808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99788 and 99808. First we will calculate the prime factors of 99788 and 99808.

Prime Factorization of 99788

Prime Factorization of 99808

Now multiplying the highest exponent prime factors to calculate the LCM of 99788 and 99808.

LCM(99788,99808) = 2⁵ × 13¹ × 19¹ × 101¹ × 3119¹
LCM(99788,99808) = 2489910176