What is the Least Common Multiple of 50016 and 50025?

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 50016 and 50025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50016 and 50025, than apply into the LCM equation.

GCF(50016,50025) = 3
LCM(50016,50025) = ( 50016 × 50025) / 3
LCM(50016,50025) = 2502050400 / 3
LCM(50016,50025) = 834016800

Least Common Multiple (LCM) of 50016 and 50025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50016 and 50025. First we will calculate the prime factors of 50016 and 50025.

Prime Factorization of 50016

Prime Factorization of 50025

Now multiplying the highest exponent prime factors to calculate the LCM of 50016 and 50025.

LCM(50016,50025) = 2⁵ × 3¹ × 521¹ × 5² × 23¹ × 29¹
LCM(50016,50025) = 834016800