What is the Least Common Multiple of 82485 and 82505?

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 82485 and 82505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82485 and 82505, than apply into the LCM equation.

GCF(82485,82505) = 5
LCM(82485,82505) = ( 82485 × 82505) / 5
LCM(82485,82505) = 6805424925 / 5
LCM(82485,82505) = 1361084985

Least Common Multiple (LCM) of 82485 and 82505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82485 and 82505. First we will calculate the prime factors of 82485 and 82505.

Prime Factorization of 82485

Prime Factorization of 82505

Now multiplying the highest exponent prime factors to calculate the LCM of 82485 and 82505.

LCM(82485,82505) = 3³ × 5¹ × 13¹ × 47¹ × 29¹ × 569¹
LCM(82485,82505) = 1361084985