What is the Least Common Multiple of 89304 and 89309?

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 89304 and 89309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89304 and 89309, than apply into the LCM equation.

GCF(89304,89309) = 1
LCM(89304,89309) = ( 89304 × 89309) / 1
LCM(89304,89309) = 7975650936 / 1
LCM(89304,89309) = 7975650936

Least Common Multiple (LCM) of 89304 and 89309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89304 and 89309. First we will calculate the prime factors of 89304 and 89309.

Prime Factorization of 89304

Prime Factorization of 89309

Now multiplying the highest exponent prime factors to calculate the LCM of 89304 and 89309.

LCM(89304,89309) = 2³ × 3¹ × 61² × 11¹ × 23¹ × 353¹
LCM(89304,89309) = 7975650936