What is the Least Common Multiple of 83314 and 83324?

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 83314 and 83324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83314 and 83324, than apply into the LCM equation.

GCF(83314,83324) = 2
LCM(83314,83324) = ( 83314 × 83324) / 2
LCM(83314,83324) = 6942055736 / 2
LCM(83314,83324) = 3471027868

Least Common Multiple (LCM) of 83314 and 83324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83314 and 83324. First we will calculate the prime factors of 83314 and 83324.

Prime Factorization of 83314

Prime Factorization of 83324

Now multiplying the highest exponent prime factors to calculate the LCM of 83314 and 83324.

LCM(83314,83324) = 2² × 7¹ × 11¹ × 541¹ × 37¹ × 563¹
LCM(83314,83324) = 3471027868