What is the Least Common Multiple of 43296 and 43308?

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 43296 and 43308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43296 and 43308, than apply into the LCM equation.

GCF(43296,43308) = 12
LCM(43296,43308) = ( 43296 × 43308) / 12
LCM(43296,43308) = 1875063168 / 12
LCM(43296,43308) = 156255264

Least Common Multiple (LCM) of 43296 and 43308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43296 and 43308. First we will calculate the prime factors of 43296 and 43308.

Prime Factorization of 43296

Prime Factorization of 43308

Now multiplying the highest exponent prime factors to calculate the LCM of 43296 and 43308.

LCM(43296,43308) = 2⁵ × 3³ × 11¹ × 41¹ × 401¹
LCM(43296,43308) = 156255264