What is the Least Common Multiple of 99096 and 99106?

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 99106 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 99106, than apply into the LCM equation.

GCF(99096,99106) = 2
LCM(99096,99106) = ( 99096 × 99106) / 2
LCM(99096,99106) = 9821008176 / 2
LCM(99096,99106) = 4910504088

Least Common Multiple (LCM) of 99096 and 99106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99096 and 99106. First we will calculate the prime factors of 99096 and 99106.

Prime Factorization of 99096

Prime Factorization of 99106

Now multiplying the highest exponent prime factors to calculate the LCM of 99096 and 99106.

LCM(99096,99106) = 2³ × 3¹ × 4129¹ × 7¹ × 7079¹
LCM(99096,99106) = 4910504088