What is the Least Common Multiple of 20267 and 20287?

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 20267 and 20287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20267 and 20287, than apply into the LCM equation.

GCF(20267,20287) = 1
LCM(20267,20287) = ( 20267 × 20287) / 1
LCM(20267,20287) = 411156629 / 1
LCM(20267,20287) = 411156629

Least Common Multiple (LCM) of 20267 and 20287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20267 and 20287. First we will calculate the prime factors of 20267 and 20287.

Prime Factorization of 20267

Prime Factorization of 20287

Now multiplying the highest exponent prime factors to calculate the LCM of 20267 and 20287.

LCM(20267,20287) = 13¹ × 1559¹ × 20287¹
LCM(20267,20287) = 411156629