What is the Least Common Multiple of 20364 and 20375?

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 20364 and 20375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20364 and 20375, than apply into the LCM equation.

GCF(20364,20375) = 1
LCM(20364,20375) = ( 20364 × 20375) / 1
LCM(20364,20375) = 414916500 / 1
LCM(20364,20375) = 414916500

Least Common Multiple (LCM) of 20364 and 20375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20364 and 20375. First we will calculate the prime factors of 20364 and 20375.

Prime Factorization of 20364

Prime Factorization of 20375

Now multiplying the highest exponent prime factors to calculate the LCM of 20364 and 20375.

LCM(20364,20375) = 2² × 3¹ × 1697¹ × 5³ × 163¹
LCM(20364,20375) = 414916500