What is the Least Common Multiple of 13010 and 13025?

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 13010 and 13025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13010 and 13025, than apply into the LCM equation.

GCF(13010,13025) = 5
LCM(13010,13025) = ( 13010 × 13025) / 5
LCM(13010,13025) = 169455250 / 5
LCM(13010,13025) = 33891050

Least Common Multiple (LCM) of 13010 and 13025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13010 and 13025. First we will calculate the prime factors of 13010 and 13025.

Prime Factorization of 13010

Prime Factorization of 13025

Now multiplying the highest exponent prime factors to calculate the LCM of 13010 and 13025.

LCM(13010,13025) = 2¹ × 5² × 1301¹ × 521¹
LCM(13010,13025) = 33891050