What is the Least Common Multiple of 20200 and 20217?

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 20217 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 20217, than apply into the LCM equation.

GCF(20200,20217) = 1
LCM(20200,20217) = ( 20200 × 20217) / 1
LCM(20200,20217) = 408383400 / 1
LCM(20200,20217) = 408383400

Least Common Multiple (LCM) of 20200 and 20217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20200 and 20217. First we will calculate the prime factors of 20200 and 20217.

Prime Factorization of 20200

Prime Factorization of 20217

Now multiplying the highest exponent prime factors to calculate the LCM of 20200 and 20217.

LCM(20200,20217) = 2³ × 5² × 101¹ × 3¹ × 23¹ × 293¹
LCM(20200,20217) = 408383400