What is the Least Common Multiple of 43296 and 43301?

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 43301 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 43301, than apply into the LCM equation.

GCF(43296,43301) = 1
LCM(43296,43301) = ( 43296 × 43301) / 1
LCM(43296,43301) = 1874760096 / 1
LCM(43296,43301) = 1874760096

Least Common Multiple (LCM) of 43296 and 43301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43296 and 43301. First we will calculate the prime factors of 43296 and 43301.

Prime Factorization of 43296

Prime Factorization of 43301

Now multiplying the highest exponent prime factors to calculate the LCM of 43296 and 43301.

LCM(43296,43301) = 2⁵ × 3¹ × 11¹ × 41¹ × 19¹ × 43¹ × 53¹
LCM(43296,43301) = 1874760096