What is the Least Common Multiple of 89310 and 89323?

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 89310 and 89323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89310 and 89323, than apply into the LCM equation.

GCF(89310,89323) = 13
LCM(89310,89323) = ( 89310 × 89323) / 13
LCM(89310,89323) = 7977437130 / 13
LCM(89310,89323) = 613649010

Least Common Multiple (LCM) of 89310 and 89323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89310 and 89323. First we will calculate the prime factors of 89310 and 89323.

Prime Factorization of 89310

Prime Factorization of 89323

Now multiplying the highest exponent prime factors to calculate the LCM of 89310 and 89323.

LCM(89310,89323) = 2¹ × 3¹ × 5¹ × 13¹ × 229¹ × 6871¹
LCM(89310,89323) = 613649010