What is the Least Common Multiple of 44419 and 44428?

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 44419 and 44428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44419 and 44428, than apply into the LCM equation.

GCF(44419,44428) = 1
LCM(44419,44428) = ( 44419 × 44428) / 1
LCM(44419,44428) = 1973447332 / 1
LCM(44419,44428) = 1973447332

Least Common Multiple (LCM) of 44419 and 44428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44419 and 44428. First we will calculate the prime factors of 44419 and 44428.

Prime Factorization of 44419

Prime Factorization of 44428

Now multiplying the highest exponent prime factors to calculate the LCM of 44419 and 44428.

LCM(44419,44428) = 43¹ × 1033¹ × 2² × 29¹ × 383¹
LCM(44419,44428) = 1973447332