What is the Least Common Multiple of 14785 and 14789?

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 14785 and 14789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14785 and 14789, than apply into the LCM equation.

GCF(14785,14789) = 1
LCM(14785,14789) = ( 14785 × 14789) / 1
LCM(14785,14789) = 218655365 / 1
LCM(14785,14789) = 218655365

Least Common Multiple (LCM) of 14785 and 14789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14785 and 14789. First we will calculate the prime factors of 14785 and 14789.

Prime Factorization of 14785

Prime Factorization of 14789

Now multiplying the highest exponent prime factors to calculate the LCM of 14785 and 14789.

LCM(14785,14789) = 5¹ × 2957¹ × 23¹ × 643¹
LCM(14785,14789) = 218655365