What is the Least Common Multiple of 44306 and 44321?

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 44306 and 44321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44306 and 44321, than apply into the LCM equation.

GCF(44306,44321) = 1
LCM(44306,44321) = ( 44306 × 44321) / 1
LCM(44306,44321) = 1963686226 / 1
LCM(44306,44321) = 1963686226

Least Common Multiple (LCM) of 44306 and 44321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44306 and 44321. First we will calculate the prime factors of 44306 and 44321.

Prime Factorization of 44306

Prime Factorization of 44321

Now multiplying the highest exponent prime factors to calculate the LCM of 44306 and 44321.

LCM(44306,44321) = 2¹ × 22153¹ × 23¹ × 41¹ × 47¹
LCM(44306,44321) = 1963686226