What is the Least Common Multiple of 82107 and 82127?

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 82107 and 82127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82107 and 82127, than apply into the LCM equation.

GCF(82107,82127) = 1
LCM(82107,82127) = ( 82107 × 82127) / 1
LCM(82107,82127) = 6743201589 / 1
LCM(82107,82127) = 6743201589

Least Common Multiple (LCM) of 82107 and 82127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82107 and 82127. First we will calculate the prime factors of 82107 and 82127.

Prime Factorization of 82107

Prime Factorization of 82127

Now multiplying the highest exponent prime factors to calculate the LCM of 82107 and 82127.

LCM(82107,82127) = 3³ × 3041¹ × 17¹ × 4831¹
LCM(82107,82127) = 6743201589