What is the Least Common Multiple of 44874 and 44883?

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 44874 and 44883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44874 and 44883, than apply into the LCM equation.

GCF(44874,44883) = 9
LCM(44874,44883) = ( 44874 × 44883) / 9
LCM(44874,44883) = 2014079742 / 9
LCM(44874,44883) = 223786638

Least Common Multiple (LCM) of 44874 and 44883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44874 and 44883. First we will calculate the prime factors of 44874 and 44883.

Prime Factorization of 44874

Prime Factorization of 44883

Now multiplying the highest exponent prime factors to calculate the LCM of 44874 and 44883.

LCM(44874,44883) = 2¹ × 3⁴ × 277¹ × 4987¹
LCM(44874,44883) = 223786638