What is the Least Common Multiple of 14854 and 14871?

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 14854 and 14871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14854 and 14871, than apply into the LCM equation.

GCF(14854,14871) = 1
LCM(14854,14871) = ( 14854 × 14871) / 1
LCM(14854,14871) = 220893834 / 1
LCM(14854,14871) = 220893834

Least Common Multiple (LCM) of 14854 and 14871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14854 and 14871. First we will calculate the prime factors of 14854 and 14871.

Prime Factorization of 14854

Prime Factorization of 14871

Now multiplying the highest exponent prime factors to calculate the LCM of 14854 and 14871.

LCM(14854,14871) = 2¹ × 7¹ × 1061¹ × 3¹ × 4957¹
LCM(14854,14871) = 220893834