What is the Least Common Multiple of 83349 and 83364?

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 83349 and 83364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83349 and 83364, than apply into the LCM equation.

GCF(83349,83364) = 3
LCM(83349,83364) = ( 83349 × 83364) / 3
LCM(83349,83364) = 6948306036 / 3
LCM(83349,83364) = 2316102012

Least Common Multiple (LCM) of 83349 and 83364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83349 and 83364. First we will calculate the prime factors of 83349 and 83364.

Prime Factorization of 83349

Prime Factorization of 83364

Now multiplying the highest exponent prime factors to calculate the LCM of 83349 and 83364.

LCM(83349,83364) = 3⁵ × 7³ × 2² × 6947¹
LCM(83349,83364) = 2316102012