What is the Least Common Multiple of 44916 and 44923?

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 44916 and 44923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44916 and 44923, than apply into the LCM equation.

GCF(44916,44923) = 1
LCM(44916,44923) = ( 44916 × 44923) / 1
LCM(44916,44923) = 2017761468 / 1
LCM(44916,44923) = 2017761468

Least Common Multiple (LCM) of 44916 and 44923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44916 and 44923. First we will calculate the prime factors of 44916 and 44923.

Prime Factorization of 44916

Prime Factorization of 44923

Now multiplying the highest exponent prime factors to calculate the LCM of 44916 and 44923.

LCM(44916,44923) = 2² × 3¹ × 19¹ × 197¹ × 167¹ × 269¹
LCM(44916,44923) = 2017761468