What is the Least Common Multiple of 51854 and 51872?

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 51854 and 51872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51854 and 51872, than apply into the LCM equation.

GCF(51854,51872) = 2
LCM(51854,51872) = ( 51854 × 51872) / 2
LCM(51854,51872) = 2689770688 / 2
LCM(51854,51872) = 1344885344

Least Common Multiple (LCM) of 51854 and 51872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51854 and 51872. First we will calculate the prime factors of 51854 and 51872.

Prime Factorization of 51854

Prime Factorization of 51872

Now multiplying the highest exponent prime factors to calculate the LCM of 51854 and 51872.

LCM(51854,51872) = 2⁵ × 11¹ × 2357¹ × 1621¹
LCM(51854,51872) = 1344885344