What is the Least Common Multiple of 47296 and 47311?

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 47296 and 47311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47296 and 47311, than apply into the LCM equation.

GCF(47296,47311) = 1
LCM(47296,47311) = ( 47296 × 47311) / 1
LCM(47296,47311) = 2237621056 / 1
LCM(47296,47311) = 2237621056

Least Common Multiple (LCM) of 47296 and 47311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47296 and 47311. First we will calculate the prime factors of 47296 and 47311.

Prime Factorization of 47296

Prime Factorization of 47311

Now multiplying the highest exponent prime factors to calculate the LCM of 47296 and 47311.

LCM(47296,47311) = 2⁶ × 739¹ × 11² × 17¹ × 23¹
LCM(47296,47311) = 2237621056