What is the Least Common Multiple of 20325 and 20340?

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 20325 and 20340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20325 and 20340, than apply into the LCM equation.

GCF(20325,20340) = 15
LCM(20325,20340) = ( 20325 × 20340) / 15
LCM(20325,20340) = 413410500 / 15
LCM(20325,20340) = 27560700

Least Common Multiple (LCM) of 20325 and 20340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20325 and 20340. First we will calculate the prime factors of 20325 and 20340.

Prime Factorization of 20325

Prime Factorization of 20340

Now multiplying the highest exponent prime factors to calculate the LCM of 20325 and 20340.

LCM(20325,20340) = 3² × 5² × 271¹ × 2² × 113¹
LCM(20325,20340) = 27560700