What is the Least Common Multiple of 26025 and 26044?

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 26025 and 26044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26025 and 26044, than apply into the LCM equation.

GCF(26025,26044) = 1
LCM(26025,26044) = ( 26025 × 26044) / 1
LCM(26025,26044) = 677795100 / 1
LCM(26025,26044) = 677795100

Least Common Multiple (LCM) of 26025 and 26044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26025 and 26044. First we will calculate the prime factors of 26025 and 26044.

Prime Factorization of 26025

Prime Factorization of 26044

Now multiplying the highest exponent prime factors to calculate the LCM of 26025 and 26044.

LCM(26025,26044) = 3¹ × 5² × 347¹ × 2² × 17¹ × 383¹
LCM(26025,26044) = 677795100