What is the Least Common Multiple of 44878 and 44896?

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 44878 and 44896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44878 and 44896, than apply into the LCM equation.

GCF(44878,44896) = 2
LCM(44878,44896) = ( 44878 × 44896) / 2
LCM(44878,44896) = 2014842688 / 2
LCM(44878,44896) = 1007421344

Least Common Multiple (LCM) of 44878 and 44896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44878 and 44896. First we will calculate the prime factors of 44878 and 44896.

Prime Factorization of 44878

Prime Factorization of 44896

Now multiplying the highest exponent prime factors to calculate the LCM of 44878 and 44896.

LCM(44878,44896) = 2⁵ × 19¹ × 1181¹ × 23¹ × 61¹
LCM(44878,44896) = 1007421344