What is the Least Common Multiple of 44894 and 44910?

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 44894 and 44910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44894 and 44910, than apply into the LCM equation.

GCF(44894,44910) = 2
LCM(44894,44910) = ( 44894 × 44910) / 2
LCM(44894,44910) = 2016189540 / 2
LCM(44894,44910) = 1008094770

Least Common Multiple (LCM) of 44894 and 44910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44894 and 44910. First we will calculate the prime factors of 44894 and 44910.

Prime Factorization of 44894

Prime Factorization of 44910

Now multiplying the highest exponent prime factors to calculate the LCM of 44894 and 44910.

LCM(44894,44910) = 2¹ × 22447¹ × 3² × 5¹ × 499¹
LCM(44894,44910) = 1008094770