What is the Least Common Multiple of 83300 and 83314?

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 83300 and 83314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83300 and 83314, than apply into the LCM equation.

GCF(83300,83314) = 14
LCM(83300,83314) = ( 83300 × 83314) / 14
LCM(83300,83314) = 6940056200 / 14
LCM(83300,83314) = 495718300

Least Common Multiple (LCM) of 83300 and 83314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83300 and 83314. First we will calculate the prime factors of 83300 and 83314.

Prime Factorization of 83300

Prime Factorization of 83314

Now multiplying the highest exponent prime factors to calculate the LCM of 83300 and 83314.

LCM(83300,83314) = 2² × 5² × 7² × 17¹ × 11¹ × 541¹
LCM(83300,83314) = 495718300