What is the Least Common Multiple of 20188 and 20206?

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 20188 and 20206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20188 and 20206, than apply into the LCM equation.

GCF(20188,20206) = 2
LCM(20188,20206) = ( 20188 × 20206) / 2
LCM(20188,20206) = 407918728 / 2
LCM(20188,20206) = 203959364

Least Common Multiple (LCM) of 20188 and 20206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20188 and 20206. First we will calculate the prime factors of 20188 and 20206.

Prime Factorization of 20188

Prime Factorization of 20206

Now multiplying the highest exponent prime factors to calculate the LCM of 20188 and 20206.

LCM(20188,20206) = 2² × 7² × 103¹ × 10103¹
LCM(20188,20206) = 203959364