What is the Least Common Multiple of 51328 and 51338?

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 51328 and 51338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51328 and 51338, than apply into the LCM equation.

GCF(51328,51338) = 2
LCM(51328,51338) = ( 51328 × 51338) / 2
LCM(51328,51338) = 2635076864 / 2
LCM(51328,51338) = 1317538432

Least Common Multiple (LCM) of 51328 and 51338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51328 and 51338. First we will calculate the prime factors of 51328 and 51338.

Prime Factorization of 51328

Prime Factorization of 51338

Now multiplying the highest exponent prime factors to calculate the LCM of 51328 and 51338.

LCM(51328,51338) = 2⁷ × 401¹ × 7¹ × 19¹ × 193¹
LCM(51328,51338) = 1317538432