What is the Least Common Multiple of 80392 and 80398?

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 80392 and 80398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80392 and 80398, than apply into the LCM equation.

GCF(80392,80398) = 2
LCM(80392,80398) = ( 80392 × 80398) / 2
LCM(80392,80398) = 6463356016 / 2
LCM(80392,80398) = 3231678008

Least Common Multiple (LCM) of 80392 and 80398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80392 and 80398. First we will calculate the prime factors of 80392 and 80398.

Prime Factorization of 80392

Prime Factorization of 80398

Now multiplying the highest exponent prime factors to calculate the LCM of 80392 and 80398.

LCM(80392,80398) = 2³ × 13¹ × 773¹ × 61¹ × 659¹
LCM(80392,80398) = 3231678008