What is the Least Common Multiple of 97305 and 97323?

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 97305 and 97323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97305 and 97323, than apply into the LCM equation.

GCF(97305,97323) = 3
LCM(97305,97323) = ( 97305 × 97323) / 3
LCM(97305,97323) = 9470014515 / 3
LCM(97305,97323) = 3156671505

Least Common Multiple (LCM) of 97305 and 97323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97305 and 97323. First we will calculate the prime factors of 97305 and 97323.

Prime Factorization of 97305

Prime Factorization of 97323

Now multiplying the highest exponent prime factors to calculate the LCM of 97305 and 97323.

LCM(97305,97323) = 3¹ × 5¹ × 13¹ × 499¹ × 32441¹
LCM(97305,97323) = 3156671505