What is the Least Common Multiple of 83384 and 83397?

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 83384 and 83397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83384 and 83397, than apply into the LCM equation.

GCF(83384,83397) = 1
LCM(83384,83397) = ( 83384 × 83397) / 1
LCM(83384,83397) = 6953975448 / 1
LCM(83384,83397) = 6953975448

Least Common Multiple (LCM) of 83384 and 83397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83384 and 83397. First we will calculate the prime factors of 83384 and 83397.

Prime Factorization of 83384

Prime Factorization of 83397

Now multiplying the highest exponent prime factors to calculate the LCM of 83384 and 83397.

LCM(83384,83397) = 2³ × 7¹ × 1489¹ × 3¹ × 27799¹
LCM(83384,83397) = 6953975448