What is the Least Common Multiple of 82505 and 82510?

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 82505 and 82510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82505 and 82510, than apply into the LCM equation.

GCF(82505,82510) = 5
LCM(82505,82510) = ( 82505 × 82510) / 5
LCM(82505,82510) = 6807487550 / 5
LCM(82505,82510) = 1361497510

Least Common Multiple (LCM) of 82505 and 82510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82505 and 82510. First we will calculate the prime factors of 82505 and 82510.

Prime Factorization of 82505

Prime Factorization of 82510

Now multiplying the highest exponent prime factors to calculate the LCM of 82505 and 82510.

LCM(82505,82510) = 5¹ × 29¹ × 569¹ × 2¹ × 37¹ × 223¹
LCM(82505,82510) = 1361497510