What is the Least Common Multiple of 25025 and 25040?

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 25025 and 25040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25025 and 25040, than apply into the LCM equation.

GCF(25025,25040) = 5
LCM(25025,25040) = ( 25025 × 25040) / 5
LCM(25025,25040) = 626626000 / 5
LCM(25025,25040) = 125325200

Least Common Multiple (LCM) of 25025 and 25040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25025 and 25040. First we will calculate the prime factors of 25025 and 25040.

Prime Factorization of 25025

Prime Factorization of 25040

Now multiplying the highest exponent prime factors to calculate the LCM of 25025 and 25040.

LCM(25025,25040) = 5² × 7¹ × 11¹ × 13¹ × 2⁴ × 313¹
LCM(25025,25040) = 125325200