What is the Least Common Multiple of 82025 and 82040?

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 82025 and 82040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82025 and 82040, than apply into the LCM equation.

GCF(82025,82040) = 5
LCM(82025,82040) = ( 82025 × 82040) / 5
LCM(82025,82040) = 6729331000 / 5
LCM(82025,82040) = 1345866200

Least Common Multiple (LCM) of 82025 and 82040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82025 and 82040. First we will calculate the prime factors of 82025 and 82040.

Prime Factorization of 82025

Prime Factorization of 82040

Now multiplying the highest exponent prime factors to calculate the LCM of 82025 and 82040.

LCM(82025,82040) = 5² × 17¹ × 193¹ × 2³ × 7¹ × 293¹
LCM(82025,82040) = 1345866200