What is the Least Common Multiple of 44031 and 44044?

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 44031 and 44044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44031 and 44044, than apply into the LCM equation.

GCF(44031,44044) = 13
LCM(44031,44044) = ( 44031 × 44044) / 13
LCM(44031,44044) = 1939301364 / 13
LCM(44031,44044) = 149177028

Least Common Multiple (LCM) of 44031 and 44044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44031 and 44044. First we will calculate the prime factors of 44031 and 44044.

Prime Factorization of 44031

Prime Factorization of 44044

Now multiplying the highest exponent prime factors to calculate the LCM of 44031 and 44044.

LCM(44031,44044) = 3¹ × 13¹ × 1129¹ × 2² × 7¹ × 11²
LCM(44031,44044) = 149177028