What is the Least Common Multiple of 20310 and 20325?

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 20325 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 20325, than apply into the LCM equation.

GCF(20310,20325) = 15
LCM(20310,20325) = ( 20310 × 20325) / 15
LCM(20310,20325) = 412800750 / 15
LCM(20310,20325) = 27520050

Least Common Multiple (LCM) of 20310 and 20325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20310 and 20325. First we will calculate the prime factors of 20310 and 20325.

Prime Factorization of 20310

Prime Factorization of 20325

Now multiplying the highest exponent prime factors to calculate the LCM of 20310 and 20325.

LCM(20310,20325) = 2¹ × 3¹ × 5² × 677¹ × 271¹
LCM(20310,20325) = 27520050