What is the Least Common Multiple of 13020 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 13020 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 13020 and 13025, than apply into the LCM equation.

GCF(13020,13025) = 5
LCM(13020,13025) = ( 13020 × 13025) / 5
LCM(13020,13025) = 169585500 / 5
LCM(13020,13025) = 33917100

Least Common Multiple (LCM) of 13020 and 13025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13020 and 13025. First we will calculate the prime factors of 13020 and 13025.

Prime Factorization of 13020

Prime Factorization of 13025

Now multiplying the highest exponent prime factors to calculate the LCM of 13020 and 13025.

LCM(13020,13025) = 2² × 3¹ × 5² × 7¹ × 31¹ × 521¹
LCM(13020,13025) = 33917100