What is the Least Common Multiple of 43296 and 43307?

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 43307 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 43307, than apply into the LCM equation.

GCF(43296,43307) = 11
LCM(43296,43307) = ( 43296 × 43307) / 11
LCM(43296,43307) = 1875019872 / 11
LCM(43296,43307) = 170456352

Least Common Multiple (LCM) of 43296 and 43307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43296 and 43307. First we will calculate the prime factors of 43296 and 43307.

Prime Factorization of 43296

Prime Factorization of 43307

Now multiplying the highest exponent prime factors to calculate the LCM of 43296 and 43307.

LCM(43296,43307) = 2⁵ × 3¹ × 11¹ × 41¹ × 31¹ × 127¹
LCM(43296,43307) = 170456352