What is the Least Common Multiple of 20310 and 20323?

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 20310 and 20323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20310 and 20323, than apply into the LCM equation.

GCF(20310,20323) = 1
LCM(20310,20323) = ( 20310 × 20323) / 1
LCM(20310,20323) = 412760130 / 1
LCM(20310,20323) = 412760130

Least Common Multiple (LCM) of 20310 and 20323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20310 and 20323. First we will calculate the prime factors of 20310 and 20323.

Prime Factorization of 20310

Prime Factorization of 20323

Now multiplying the highest exponent prime factors to calculate the LCM of 20310 and 20323.

LCM(20310,20323) = 2¹ × 3¹ × 5¹ × 677¹ × 20323¹
LCM(20310,20323) = 412760130