What is the Least Common Multiple of 44875 and 44894?

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 44875 and 44894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44875 and 44894, than apply into the LCM equation.

GCF(44875,44894) = 1
LCM(44875,44894) = ( 44875 × 44894) / 1
LCM(44875,44894) = 2014618250 / 1
LCM(44875,44894) = 2014618250

Least Common Multiple (LCM) of 44875 and 44894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44875 and 44894. First we will calculate the prime factors of 44875 and 44894.

Prime Factorization of 44875

Prime Factorization of 44894

Now multiplying the highest exponent prime factors to calculate the LCM of 44875 and 44894.

LCM(44875,44894) = 5³ × 359¹ × 2¹ × 22447¹
LCM(44875,44894) = 2014618250