What is the Least Common Multiple of 44451 and 44459?

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 44451 and 44459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44451 and 44459, than apply into the LCM equation.

GCF(44451,44459) = 1
LCM(44451,44459) = ( 44451 × 44459) / 1
LCM(44451,44459) = 1976247009 / 1
LCM(44451,44459) = 1976247009

Least Common Multiple (LCM) of 44451 and 44459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44451 and 44459. First we will calculate the prime factors of 44451 and 44459.

Prime Factorization of 44451

Prime Factorization of 44459

Now multiplying the highest exponent prime factors to calculate the LCM of 44451 and 44459.

LCM(44451,44459) = 3² × 11¹ × 449¹ × 23¹ × 1933¹
LCM(44451,44459) = 1976247009