What is the Least Common Multiple of 20310 and 20326?

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 20326 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 20326, than apply into the LCM equation.

GCF(20310,20326) = 2
LCM(20310,20326) = ( 20310 × 20326) / 2
LCM(20310,20326) = 412821060 / 2
LCM(20310,20326) = 206410530

Least Common Multiple (LCM) of 20310 and 20326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20310 and 20326. First we will calculate the prime factors of 20310 and 20326.

Prime Factorization of 20310

Prime Factorization of 20326

Now multiplying the highest exponent prime factors to calculate the LCM of 20310 and 20326.

LCM(20310,20326) = 2¹ × 3¹ × 5¹ × 677¹ × 10163¹
LCM(20310,20326) = 206410530