What is the Least Common Multiple of 44896 and 44914?

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 44896 and 44914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44896 and 44914, than apply into the LCM equation.

GCF(44896,44914) = 2
LCM(44896,44914) = ( 44896 × 44914) / 2
LCM(44896,44914) = 2016458944 / 2
LCM(44896,44914) = 1008229472

Least Common Multiple (LCM) of 44896 and 44914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44896 and 44914. First we will calculate the prime factors of 44896 and 44914.

Prime Factorization of 44896

Prime Factorization of 44914

Now multiplying the highest exponent prime factors to calculate the LCM of 44896 and 44914.

LCM(44896,44914) = 2⁵ × 23¹ × 61¹ × 17¹ × 1321¹
LCM(44896,44914) = 1008229472