What is the Least Common Multiple of 14589 and 14608?

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 14589 and 14608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14589 and 14608, than apply into the LCM equation.

GCF(14589,14608) = 1
LCM(14589,14608) = ( 14589 × 14608) / 1
LCM(14589,14608) = 213116112 / 1
LCM(14589,14608) = 213116112

Least Common Multiple (LCM) of 14589 and 14608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14589 and 14608. First we will calculate the prime factors of 14589 and 14608.

Prime Factorization of 14589

Prime Factorization of 14608

Now multiplying the highest exponent prime factors to calculate the LCM of 14589 and 14608.

LCM(14589,14608) = 3² × 1621¹ × 2⁴ × 11¹ × 83¹
LCM(14589,14608) = 213116112