What is the Least Common Multiple of 44896 and 44916?

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 44916 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 44916, than apply into the LCM equation.

GCF(44896,44916) = 4
LCM(44896,44916) = ( 44896 × 44916) / 4
LCM(44896,44916) = 2016548736 / 4
LCM(44896,44916) = 504137184

Least Common Multiple (LCM) of 44896 and 44916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44896 and 44916. First we will calculate the prime factors of 44896 and 44916.

Prime Factorization of 44896

Prime Factorization of 44916

Now multiplying the highest exponent prime factors to calculate the LCM of 44896 and 44916.

LCM(44896,44916) = 2⁵ × 23¹ × 61¹ × 3¹ × 19¹ × 197¹
LCM(44896,44916) = 504137184