What is the Least Common Multiple of 99096 and 99104?

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 99096 and 99104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99096 and 99104, than apply into the LCM equation.

GCF(99096,99104) = 8
LCM(99096,99104) = ( 99096 × 99104) / 8
LCM(99096,99104) = 9820809984 / 8
LCM(99096,99104) = 1227601248

Least Common Multiple (LCM) of 99096 and 99104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99096 and 99104. First we will calculate the prime factors of 99096 and 99104.

Prime Factorization of 99096

Prime Factorization of 99104

Now multiplying the highest exponent prime factors to calculate the LCM of 99096 and 99104.

LCM(99096,99104) = 2⁵ × 3¹ × 4129¹ × 19¹ × 163¹
LCM(99096,99104) = 1227601248