What is the Least Common Multiple of 82509 and 82513?

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 82509 and 82513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82509 and 82513, than apply into the LCM equation.

GCF(82509,82513) = 1
LCM(82509,82513) = ( 82509 × 82513) / 1
LCM(82509,82513) = 6808065117 / 1
LCM(82509,82513) = 6808065117

Least Common Multiple (LCM) of 82509 and 82513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82509 and 82513. First we will calculate the prime factors of 82509 and 82513.

Prime Factorization of 82509

Prime Factorization of 82513

Now multiplying the highest exponent prime factors to calculate the LCM of 82509 and 82513.

LCM(82509,82513) = 3¹ × 7¹ × 3929¹ × 109¹ × 757¹
LCM(82509,82513) = 6808065117