What is the Least Common Multiple of 11854 and 11871?

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 11854 and 11871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11854 and 11871, than apply into the LCM equation.

GCF(11854,11871) = 1
LCM(11854,11871) = ( 11854 × 11871) / 1
LCM(11854,11871) = 140718834 / 1
LCM(11854,11871) = 140718834

Least Common Multiple (LCM) of 11854 and 11871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11854 and 11871. First we will calculate the prime factors of 11854 and 11871.

Prime Factorization of 11854

Prime Factorization of 11871

Now multiplying the highest exponent prime factors to calculate the LCM of 11854 and 11871.

LCM(11854,11871) = 2¹ × 5927¹ × 3² × 1319¹
LCM(11854,11871) = 140718834