What is the Least Common Multiple of 82417 and 82429?

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 82417 and 82429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82417 and 82429, than apply into the LCM equation.

GCF(82417,82429) = 1
LCM(82417,82429) = ( 82417 × 82429) / 1
LCM(82417,82429) = 6793550893 / 1
LCM(82417,82429) = 6793550893

Least Common Multiple (LCM) of 82417 and 82429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82417 and 82429. First we will calculate the prime factors of 82417 and 82429.

Prime Factorization of 82417

Prime Factorization of 82429

Now multiplying the highest exponent prime factors to calculate the LCM of 82417 and 82429.

LCM(82417,82429) = 73¹ × 1129¹ × 31¹ × 2659¹
LCM(82417,82429) = 6793550893