What is the Least Common Multiple of 84346 and 84364?

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 84346 and 84364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84346 and 84364, than apply into the LCM equation.

GCF(84346,84364) = 2
LCM(84346,84364) = ( 84346 × 84364) / 2
LCM(84346,84364) = 7115765944 / 2
LCM(84346,84364) = 3557882972

Least Common Multiple (LCM) of 84346 and 84364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84346 and 84364. First we will calculate the prime factors of 84346 and 84364.

Prime Factorization of 84346

Prime Factorization of 84364

Now multiplying the highest exponent prime factors to calculate the LCM of 84346 and 84364.

LCM(84346,84364) = 2² × 181¹ × 233¹ × 7¹ × 23¹ × 131¹
LCM(84346,84364) = 3557882972