What is the Least Common Multiple of 20033 and 20047?

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 20033 and 20047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20033 and 20047, than apply into the LCM equation.

GCF(20033,20047) = 1
LCM(20033,20047) = ( 20033 × 20047) / 1
LCM(20033,20047) = 401601551 / 1
LCM(20033,20047) = 401601551

Least Common Multiple (LCM) of 20033 and 20047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20033 and 20047. First we will calculate the prime factors of 20033 and 20047.

Prime Factorization of 20033

Prime Factorization of 20047

Now multiplying the highest exponent prime factors to calculate the LCM of 20033 and 20047.

LCM(20033,20047) = 13¹ × 23¹ × 67¹ × 20047¹
LCM(20033,20047) = 401601551