What is the Least Common Multiple of 83380 and 83398?

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 83380 and 83398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83380 and 83398, than apply into the LCM equation.

GCF(83380,83398) = 2
LCM(83380,83398) = ( 83380 × 83398) / 2
LCM(83380,83398) = 6953725240 / 2
LCM(83380,83398) = 3476862620

Least Common Multiple (LCM) of 83380 and 83398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83380 and 83398. First we will calculate the prime factors of 83380 and 83398.

Prime Factorization of 83380

Prime Factorization of 83398

Now multiplying the highest exponent prime factors to calculate the LCM of 83380 and 83398.

LCM(83380,83398) = 2² × 5¹ × 11¹ × 379¹ × 7² × 23¹ × 37¹
LCM(83380,83398) = 3476862620