What is the Least Common Multiple of 29025 and 29031?

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 29025 and 29031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29025 and 29031, than apply into the LCM equation.

GCF(29025,29031) = 3
LCM(29025,29031) = ( 29025 × 29031) / 3
LCM(29025,29031) = 842624775 / 3
LCM(29025,29031) = 280874925

Least Common Multiple (LCM) of 29025 and 29031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29025 and 29031. First we will calculate the prime factors of 29025 and 29031.

Prime Factorization of 29025

Prime Factorization of 29031

Now multiplying the highest exponent prime factors to calculate the LCM of 29025 and 29031.

LCM(29025,29031) = 3³ × 5² × 43¹ × 9677¹
LCM(29025,29031) = 280874925