What is the Least Common Multiple of 14854 and 14862?

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 14862 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 14862, than apply into the LCM equation.

GCF(14854,14862) = 2
LCM(14854,14862) = ( 14854 × 14862) / 2
LCM(14854,14862) = 220760148 / 2
LCM(14854,14862) = 110380074

Least Common Multiple (LCM) of 14854 and 14862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14854 and 14862. First we will calculate the prime factors of 14854 and 14862.

Prime Factorization of 14854

Prime Factorization of 14862

Now multiplying the highest exponent prime factors to calculate the LCM of 14854 and 14862.

LCM(14854,14862) = 2¹ × 7¹ × 1061¹ × 3¹ × 2477¹
LCM(14854,14862) = 110380074