What is the Least Common Multiple of 82269 and 82289?

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 82269 and 82289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82269 and 82289, than apply into the LCM equation.

GCF(82269,82289) = 1
LCM(82269,82289) = ( 82269 × 82289) / 1
LCM(82269,82289) = 6769833741 / 1
LCM(82269,82289) = 6769833741

Least Common Multiple (LCM) of 82269 and 82289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82269 and 82289. First we will calculate the prime factors of 82269 and 82289.

Prime Factorization of 82269

Prime Factorization of 82289

Now multiplying the highest exponent prime factors to calculate the LCM of 82269 and 82289.

LCM(82269,82289) = 3³ × 11¹ × 277¹ × 19¹ × 61¹ × 71¹
LCM(82269,82289) = 6769833741