What is the Least Common Multiple of 51314 and 51326?

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 51314 and 51326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51314 and 51326, than apply into the LCM equation.

GCF(51314,51326) = 2
LCM(51314,51326) = ( 51314 × 51326) / 2
LCM(51314,51326) = 2633742364 / 2
LCM(51314,51326) = 1316871182

Least Common Multiple (LCM) of 51314 and 51326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51314 and 51326. First we will calculate the prime factors of 51314 and 51326.

Prime Factorization of 51314

Prime Factorization of 51326

Now multiplying the highest exponent prime factors to calculate the LCM of 51314 and 51326.

LCM(51314,51326) = 2¹ × 25657¹ × 11¹ × 2333¹
LCM(51314,51326) = 1316871182