What is the Least Common Multiple of 80398 and 80403?

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 80398 and 80403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80398 and 80403, than apply into the LCM equation.

GCF(80398,80403) = 1
LCM(80398,80403) = ( 80398 × 80403) / 1
LCM(80398,80403) = 6464240394 / 1
LCM(80398,80403) = 6464240394

Least Common Multiple (LCM) of 80398 and 80403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80398 and 80403. First we will calculate the prime factors of 80398 and 80403.

Prime Factorization of 80398

Prime Factorization of 80403

Now multiplying the highest exponent prime factors to calculate the LCM of 80398 and 80403.

LCM(80398,80403) = 2¹ × 61¹ × 659¹ × 3¹ × 26801¹
LCM(80398,80403) = 6464240394