What is the Least Common Multiple of 14586 and 14597?

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 14586 and 14597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14586 and 14597, than apply into the LCM equation.

GCF(14586,14597) = 11
LCM(14586,14597) = ( 14586 × 14597) / 11
LCM(14586,14597) = 212911842 / 11
LCM(14586,14597) = 19355622

Least Common Multiple (LCM) of 14586 and 14597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14586 and 14597. First we will calculate the prime factors of 14586 and 14597.

Prime Factorization of 14586

Prime Factorization of 14597

Now multiplying the highest exponent prime factors to calculate the LCM of 14586 and 14597.

LCM(14586,14597) = 2¹ × 3¹ × 11¹ × 13¹ × 17¹ × 1327¹
LCM(14586,14597) = 19355622