What is the Least Common Multiple of 43896 and 43908?

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 43896 and 43908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43896 and 43908, than apply into the LCM equation.

GCF(43896,43908) = 12
LCM(43896,43908) = ( 43896 × 43908) / 12
LCM(43896,43908) = 1927385568 / 12
LCM(43896,43908) = 160615464

Least Common Multiple (LCM) of 43896 and 43908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43896 and 43908. First we will calculate the prime factors of 43896 and 43908.

Prime Factorization of 43896

Prime Factorization of 43908

Now multiplying the highest exponent prime factors to calculate the LCM of 43896 and 43908.

LCM(43896,43908) = 2³ × 3¹ × 31¹ × 59¹ × 3659¹
LCM(43896,43908) = 160615464