What is the Least Common Multiple of 50025 and 50035?

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 50025 and 50035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50025 and 50035, than apply into the LCM equation.

GCF(50025,50035) = 5
LCM(50025,50035) = ( 50025 × 50035) / 5
LCM(50025,50035) = 2503000875 / 5
LCM(50025,50035) = 500600175

Least Common Multiple (LCM) of 50025 and 50035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50025 and 50035. First we will calculate the prime factors of 50025 and 50035.

Prime Factorization of 50025

Prime Factorization of 50035

Now multiplying the highest exponent prime factors to calculate the LCM of 50025 and 50035.

LCM(50025,50035) = 3¹ × 5² × 23¹ × 29¹ × 10007¹
LCM(50025,50035) = 500600175