What is the Least Common Multiple of 43872 and 43884?

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 43872 and 43884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43872 and 43884, than apply into the LCM equation.

GCF(43872,43884) = 12
LCM(43872,43884) = ( 43872 × 43884) / 12
LCM(43872,43884) = 1925278848 / 12
LCM(43872,43884) = 160439904

Least Common Multiple (LCM) of 43872 and 43884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43872 and 43884. First we will calculate the prime factors of 43872 and 43884.

Prime Factorization of 43872

Prime Factorization of 43884

Now multiplying the highest exponent prime factors to calculate the LCM of 43872 and 43884.

LCM(43872,43884) = 2⁵ × 3² × 457¹ × 23¹ × 53¹
LCM(43872,43884) = 160439904