What is the Least Common Multiple of 82497 and 82517?

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 82497 and 82517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82497 and 82517, than apply into the LCM equation.

GCF(82497,82517) = 1
LCM(82497,82517) = ( 82497 × 82517) / 1
LCM(82497,82517) = 6807404949 / 1
LCM(82497,82517) = 6807404949

Least Common Multiple (LCM) of 82497 and 82517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82497 and 82517. First we will calculate the prime factors of 82497 and 82517.

Prime Factorization of 82497

Prime Factorization of 82517

Now multiplying the highest exponent prime factors to calculate the LCM of 82497 and 82517.

LCM(82497,82517) = 3¹ × 107¹ × 257¹ × 19¹ × 43¹ × 101¹
LCM(82497,82517) = 6807404949