What is the Least Common Multiple of 44429 and 44441?

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 44429 and 44441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44429 and 44441, than apply into the LCM equation.

GCF(44429,44441) = 1
LCM(44429,44441) = ( 44429 × 44441) / 1
LCM(44429,44441) = 1974469189 / 1
LCM(44429,44441) = 1974469189

Least Common Multiple (LCM) of 44429 and 44441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44429 and 44441. First we will calculate the prime factors of 44429 and 44441.

Prime Factorization of 44429

Prime Factorization of 44441

Now multiplying the highest exponent prime factors to calculate the LCM of 44429 and 44441.

LCM(44429,44441) = 7¹ × 11¹ × 577¹ × 19¹ × 2339¹
LCM(44429,44441) = 1974469189