What is the Least Common Multiple of 20200 and 20205?

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 20200 and 20205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20200 and 20205, than apply into the LCM equation.

GCF(20200,20205) = 5
LCM(20200,20205) = ( 20200 × 20205) / 5
LCM(20200,20205) = 408141000 / 5
LCM(20200,20205) = 81628200

Least Common Multiple (LCM) of 20200 and 20205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20200 and 20205. First we will calculate the prime factors of 20200 and 20205.

Prime Factorization of 20200

Prime Factorization of 20205

Now multiplying the highest exponent prime factors to calculate the LCM of 20200 and 20205.

LCM(20200,20205) = 2³ × 5² × 101¹ × 3² × 449¹
LCM(20200,20205) = 81628200