What is the Least Common Multiple of 83289 and 83298?

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 83289 and 83298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83289 and 83298, than apply into the LCM equation.

GCF(83289,83298) = 3
LCM(83289,83298) = ( 83289 × 83298) / 3
LCM(83289,83298) = 6937807122 / 3
LCM(83289,83298) = 2312602374

Least Common Multiple (LCM) of 83289 and 83298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83289 and 83298. First we will calculate the prime factors of 83289 and 83298.

Prime Factorization of 83289

Prime Factorization of 83298

Now multiplying the highest exponent prime factors to calculate the LCM of 83289 and 83298.

LCM(83289,83298) = 3¹ × 27763¹ × 2¹ × 13883¹
LCM(83289,83298) = 2312602374