What is the Least Common Multiple of 51296 and 51311?

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 51296 and 51311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51296 and 51311, than apply into the LCM equation.

GCF(51296,51311) = 1
LCM(51296,51311) = ( 51296 × 51311) / 1
LCM(51296,51311) = 2632049056 / 1
LCM(51296,51311) = 2632049056

Least Common Multiple (LCM) of 51296 and 51311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51296 and 51311. First we will calculate the prime factors of 51296 and 51311.

Prime Factorization of 51296

Prime Factorization of 51311

Now multiplying the highest exponent prime factors to calculate the LCM of 51296 and 51311.

LCM(51296,51311) = 2⁵ × 7¹ × 229¹ × 13¹ × 3947¹
LCM(51296,51311) = 2632049056