What is the Least Common Multiple of 14592 and 14611?

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 14592 and 14611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14592 and 14611, than apply into the LCM equation.

GCF(14592,14611) = 19
LCM(14592,14611) = ( 14592 × 14611) / 19
LCM(14592,14611) = 213203712 / 19
LCM(14592,14611) = 11221248

Least Common Multiple (LCM) of 14592 and 14611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14592 and 14611. First we will calculate the prime factors of 14592 and 14611.

Prime Factorization of 14592

Prime Factorization of 14611

Now multiplying the highest exponent prime factors to calculate the LCM of 14592 and 14611.

LCM(14592,14611) = 2⁸ × 3¹ × 19¹ × 769¹
LCM(14592,14611) = 11221248