What is the Least Common Multiple of 59310 and 59323?

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 59310 and 59323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59310 and 59323, than apply into the LCM equation.

GCF(59310,59323) = 1
LCM(59310,59323) = ( 59310 × 59323) / 1
LCM(59310,59323) = 3518447130 / 1
LCM(59310,59323) = 3518447130

Least Common Multiple (LCM) of 59310 and 59323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59310 and 59323. First we will calculate the prime factors of 59310 and 59323.

Prime Factorization of 59310

Prime Factorization of 59323

Now multiplying the highest exponent prime factors to calculate the LCM of 59310 and 59323.

LCM(59310,59323) = 2¹ × 3² × 5¹ × 659¹ × 11¹ × 5393¹
LCM(59310,59323) = 3518447130