What is the Least Common Multiple of 44838 and 44854?

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 44854 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 44854, than apply into the LCM equation.

GCF(44838,44854) = 2
LCM(44838,44854) = ( 44838 × 44854) / 2
LCM(44838,44854) = 2011163652 / 2
LCM(44838,44854) = 1005581826

Least Common Multiple (LCM) of 44838 and 44854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44838 and 44854. First we will calculate the prime factors of 44838 and 44854.

Prime Factorization of 44838

Prime Factorization of 44854

Now multiplying the highest exponent prime factors to calculate the LCM of 44838 and 44854.

LCM(44838,44854) = 2¹ × 3² × 47¹ × 53¹ × 41¹ × 547¹
LCM(44838,44854) = 1005581826