What is the Least Common Multiple of 43884 and 43899?

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 43884 and 43899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43884 and 43899, than apply into the LCM equation.

GCF(43884,43899) = 3
LCM(43884,43899) = ( 43884 × 43899) / 3
LCM(43884,43899) = 1926463716 / 3
LCM(43884,43899) = 642154572

Least Common Multiple (LCM) of 43884 and 43899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43884 and 43899. First we will calculate the prime factors of 43884 and 43899.

Prime Factorization of 43884

Prime Factorization of 43899

Now multiplying the highest exponent prime factors to calculate the LCM of 43884 and 43899.

LCM(43884,43899) = 2² × 3² × 23¹ × 53¹ × 14633¹
LCM(43884,43899) = 642154572