What is the Least Common Multiple of 51842 and 51854?

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 51842 and 51854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51842 and 51854, than apply into the LCM equation.

GCF(51842,51854) = 2
LCM(51842,51854) = ( 51842 × 51854) / 2
LCM(51842,51854) = 2688215068 / 2
LCM(51842,51854) = 1344107534

Least Common Multiple (LCM) of 51842 and 51854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51842 and 51854. First we will calculate the prime factors of 51842 and 51854.

Prime Factorization of 51842

Prime Factorization of 51854

Now multiplying the highest exponent prime factors to calculate the LCM of 51842 and 51854.

LCM(51842,51854) = 2¹ × 7² × 23² × 11¹ × 2357¹
LCM(51842,51854) = 1344107534