What is the Least Common Multiple of 44431 and 44449?

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 44431 and 44449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44431 and 44449, than apply into the LCM equation.

GCF(44431,44449) = 1
LCM(44431,44449) = ( 44431 × 44449) / 1
LCM(44431,44449) = 1974913519 / 1
LCM(44431,44449) = 1974913519

Least Common Multiple (LCM) of 44431 and 44449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44431 and 44449. First we will calculate the prime factors of 44431 and 44449.

Prime Factorization of 44431

Prime Factorization of 44449

Now multiplying the highest exponent prime factors to calculate the LCM of 44431 and 44449.

LCM(44431,44449) = 157¹ × 283¹ × 44449¹
LCM(44431,44449) = 1974913519