What is the Least Common Multiple of 44409 and 44418?

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 44409 and 44418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44409 and 44418, than apply into the LCM equation.

GCF(44409,44418) = 3
LCM(44409,44418) = ( 44409 × 44418) / 3
LCM(44409,44418) = 1972558962 / 3
LCM(44409,44418) = 657519654

Least Common Multiple (LCM) of 44409 and 44418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44409 and 44418. First we will calculate the prime factors of 44409 and 44418.

Prime Factorization of 44409

Prime Factorization of 44418

Now multiplying the highest exponent prime factors to calculate the LCM of 44409 and 44418.

LCM(44409,44418) = 3¹ × 113¹ × 131¹ × 2¹ × 11¹ × 673¹
LCM(44409,44418) = 657519654