What is the Least Common Multiple of 20439 and 20443?

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 20439 and 20443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20439 and 20443, than apply into the LCM equation.

GCF(20439,20443) = 1
LCM(20439,20443) = ( 20439 × 20443) / 1
LCM(20439,20443) = 417834477 / 1
LCM(20439,20443) = 417834477

Least Common Multiple (LCM) of 20439 and 20443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20439 and 20443. First we will calculate the prime factors of 20439 and 20443.

Prime Factorization of 20439

Prime Factorization of 20443

Now multiplying the highest exponent prime factors to calculate the LCM of 20439 and 20443.

LCM(20439,20443) = 3³ × 757¹ × 20443¹
LCM(20439,20443) = 417834477