What is the Least Common Multiple of 51382 and 51388?

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 51382 and 51388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51382 and 51388, than apply into the LCM equation.

GCF(51382,51388) = 2
LCM(51382,51388) = ( 51382 × 51388) / 2
LCM(51382,51388) = 2640418216 / 2
LCM(51382,51388) = 1320209108

Least Common Multiple (LCM) of 51382 and 51388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51382 and 51388. First we will calculate the prime factors of 51382 and 51388.

Prime Factorization of 51382

Prime Factorization of 51388

Now multiplying the highest exponent prime factors to calculate the LCM of 51382 and 51388.

LCM(51382,51388) = 2² × 23¹ × 1117¹ × 29¹ × 443¹
LCM(51382,51388) = 1320209108