What is the Least Common Multiple of 82469 and 82481?

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 82469 and 82481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82469 and 82481, than apply into the LCM equation.

GCF(82469,82481) = 1
LCM(82469,82481) = ( 82469 × 82481) / 1
LCM(82469,82481) = 6802125589 / 1
LCM(82469,82481) = 6802125589

Least Common Multiple (LCM) of 82469 and 82481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82469 and 82481. First we will calculate the prime factors of 82469 and 82481.

Prime Factorization of 82469

Prime Factorization of 82481

Now multiplying the highest exponent prime factors to calculate the LCM of 82469 and 82481.

LCM(82469,82481) = 82469¹ × 7¹ × 11783¹
LCM(82469,82481) = 6802125589