What is the Least Common Multiple of 14854 and 14868?

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 14868 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 14868, than apply into the LCM equation.

GCF(14854,14868) = 14
LCM(14854,14868) = ( 14854 × 14868) / 14
LCM(14854,14868) = 220849272 / 14
LCM(14854,14868) = 15774948

Least Common Multiple (LCM) of 14854 and 14868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14854 and 14868. First we will calculate the prime factors of 14854 and 14868.

Prime Factorization of 14854

Prime Factorization of 14868

Now multiplying the highest exponent prime factors to calculate the LCM of 14854 and 14868.

LCM(14854,14868) = 2² × 7¹ × 1061¹ × 3² × 59¹
LCM(14854,14868) = 15774948