What is the Least Common Multiple of 96289 and 96309?

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 96289 and 96309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96289 and 96309, than apply into the LCM equation.

GCF(96289,96309) = 1
LCM(96289,96309) = ( 96289 × 96309) / 1
LCM(96289,96309) = 9273497301 / 1
LCM(96289,96309) = 9273497301

Least Common Multiple (LCM) of 96289 and 96309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96289 and 96309. First we will calculate the prime factors of 96289 and 96309.

Prime Factorization of 96289

Prime Factorization of 96309

Now multiplying the highest exponent prime factors to calculate the LCM of 96289 and 96309.

LCM(96289,96309) = 96289¹ × 3⁴ × 29¹ × 41¹
LCM(96289,96309) = 9273497301