What is the Least Common Multiple of 44838 and 44856?

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 44838 and 44856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44838 and 44856, than apply into the LCM equation.

GCF(44838,44856) = 18
LCM(44838,44856) = ( 44838 × 44856) / 18
LCM(44838,44856) = 2011253328 / 18
LCM(44838,44856) = 111736296

Least Common Multiple (LCM) of 44838 and 44856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44838 and 44856. First we will calculate the prime factors of 44838 and 44856.

Prime Factorization of 44838

Prime Factorization of 44856

Now multiplying the highest exponent prime factors to calculate the LCM of 44838 and 44856.

LCM(44838,44856) = 2³ × 3² × 47¹ × 53¹ × 7¹ × 89¹
LCM(44838,44856) = 111736296