What is the Least Common Multiple of 83319 and 83337?

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 83319 and 83337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83319 and 83337, than apply into the LCM equation.

GCF(83319,83337) = 3
LCM(83319,83337) = ( 83319 × 83337) / 3
LCM(83319,83337) = 6943555503 / 3
LCM(83319,83337) = 2314518501

Least Common Multiple (LCM) of 83319 and 83337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83319 and 83337. First we will calculate the prime factors of 83319 and 83337.

Prime Factorization of 83319

Prime Factorization of 83337

Now multiplying the highest exponent prime factors to calculate the LCM of 83319 and 83337.

LCM(83319,83337) = 3¹ × 27773¹ × 27779¹
LCM(83319,83337) = 2314518501