What is the Least Common Multiple of 82512 and 82525?

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 82512 and 82525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82512 and 82525, than apply into the LCM equation.

GCF(82512,82525) = 1
LCM(82512,82525) = ( 82512 × 82525) / 1
LCM(82512,82525) = 6809302800 / 1
LCM(82512,82525) = 6809302800

Least Common Multiple (LCM) of 82512 and 82525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82512 and 82525. First we will calculate the prime factors of 82512 and 82525.

Prime Factorization of 82512

Prime Factorization of 82525

Now multiplying the highest exponent prime factors to calculate the LCM of 82512 and 82525.

LCM(82512,82525) = 2⁴ × 3³ × 191¹ × 5² × 3301¹
LCM(82512,82525) = 6809302800