What is the Least Common Multiple of 14569 and 14588?

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 14569 and 14588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14569 and 14588, than apply into the LCM equation.

GCF(14569,14588) = 1
LCM(14569,14588) = ( 14569 × 14588) / 1
LCM(14569,14588) = 212532572 / 1
LCM(14569,14588) = 212532572

Least Common Multiple (LCM) of 14569 and 14588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14569 and 14588. First we will calculate the prime factors of 14569 and 14588.

Prime Factorization of 14569

Prime Factorization of 14588

Now multiplying the highest exponent prime factors to calculate the LCM of 14569 and 14588.

LCM(14569,14588) = 17¹ × 857¹ × 2² × 7¹ × 521¹
LCM(14569,14588) = 212532572