What is the Least Common Multiple of 99296 and 99309?

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 99296 and 99309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99296 and 99309, than apply into the LCM equation.

GCF(99296,99309) = 1
LCM(99296,99309) = ( 99296 × 99309) / 1
LCM(99296,99309) = 9860986464 / 1
LCM(99296,99309) = 9860986464

Least Common Multiple (LCM) of 99296 and 99309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99296 and 99309. First we will calculate the prime factors of 99296 and 99309.

Prime Factorization of 99296

Prime Factorization of 99309

Now multiplying the highest exponent prime factors to calculate the LCM of 99296 and 99309.

LCM(99296,99309) = 2⁵ × 29¹ × 107¹ × 3¹ × 7¹ × 4729¹
LCM(99296,99309) = 9860986464