What is the Least Common Multiple of 25025 and 25036?

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 25036 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 25036, than apply into the LCM equation.

GCF(25025,25036) = 11
LCM(25025,25036) = ( 25025 × 25036) / 11
LCM(25025,25036) = 626525900 / 11
LCM(25025,25036) = 56956900

Least Common Multiple (LCM) of 25025 and 25036 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25025 and 25036. First we will calculate the prime factors of 25025 and 25036.

Prime Factorization of 25025

Prime Factorization of 25036

Now multiplying the highest exponent prime factors to calculate the LCM of 25025 and 25036.

LCM(25025,25036) = 5² × 7¹ × 11¹ × 13¹ × 2² × 569¹
LCM(25025,25036) = 56956900