What is the Least Common Multiple of 14789 and 14808?

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 14789 and 14808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14789 and 14808, than apply into the LCM equation.

GCF(14789,14808) = 1
LCM(14789,14808) = ( 14789 × 14808) / 1
LCM(14789,14808) = 218995512 / 1
LCM(14789,14808) = 218995512

Least Common Multiple (LCM) of 14789 and 14808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14789 and 14808. First we will calculate the prime factors of 14789 and 14808.

Prime Factorization of 14789

Prime Factorization of 14808

Now multiplying the highest exponent prime factors to calculate the LCM of 14789 and 14808.

LCM(14789,14808) = 23¹ × 643¹ × 2³ × 3¹ × 617¹
LCM(14789,14808) = 218995512