What is the Least Common Multiple of 82441 and 82459?

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 82441 and 82459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82441 and 82459, than apply into the LCM equation.

GCF(82441,82459) = 1
LCM(82441,82459) = ( 82441 × 82459) / 1
LCM(82441,82459) = 6798002419 / 1
LCM(82441,82459) = 6798002419

Least Common Multiple (LCM) of 82441 and 82459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82441 and 82459. First we will calculate the prime factors of 82441 and 82459.

Prime Factorization of 82441

Prime Factorization of 82459

Now multiplying the highest exponent prime factors to calculate the LCM of 82441 and 82459.

LCM(82441,82459) = 19¹ × 4339¹ × 13¹ × 6343¹
LCM(82441,82459) = 6798002419