What is the Least Common Multiple of 83398 and 83408?

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 83398 and 83408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83398 and 83408, than apply into the LCM equation.

GCF(83398,83408) = 2
LCM(83398,83408) = ( 83398 × 83408) / 2
LCM(83398,83408) = 6956060384 / 2
LCM(83398,83408) = 3478030192

Least Common Multiple (LCM) of 83398 and 83408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83398 and 83408. First we will calculate the prime factors of 83398 and 83408.

Prime Factorization of 83398

Prime Factorization of 83408

Now multiplying the highest exponent prime factors to calculate the LCM of 83398 and 83408.

LCM(83398,83408) = 2⁴ × 7² × 23¹ × 37¹ × 13¹ × 401¹
LCM(83398,83408) = 3478030192