What is the Least Common Multiple of 20200 and 20212?

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 20212 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 20212, than apply into the LCM equation.

GCF(20200,20212) = 4
LCM(20200,20212) = ( 20200 × 20212) / 4
LCM(20200,20212) = 408282400 / 4
LCM(20200,20212) = 102070600

Least Common Multiple (LCM) of 20200 and 20212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20200 and 20212. First we will calculate the prime factors of 20200 and 20212.

Prime Factorization of 20200

Prime Factorization of 20212

Now multiplying the highest exponent prime factors to calculate the LCM of 20200 and 20212.

LCM(20200,20212) = 2³ × 5² × 101¹ × 31¹ × 163¹
LCM(20200,20212) = 102070600