What is the Least Common Multiple of 84323 and 84338?

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 84323 and 84338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84323 and 84338, than apply into the LCM equation.

GCF(84323,84338) = 1
LCM(84323,84338) = ( 84323 × 84338) / 1
LCM(84323,84338) = 7111633174 / 1
LCM(84323,84338) = 7111633174

Least Common Multiple (LCM) of 84323 and 84338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84323 and 84338. First we will calculate the prime factors of 84323 and 84338.

Prime Factorization of 84323

Prime Factorization of 84338

Now multiplying the highest exponent prime factors to calculate the LCM of 84323 and 84338.

LCM(84323,84338) = 37¹ × 43¹ × 53¹ × 2¹ × 42169¹
LCM(84323,84338) = 7111633174