What is the Least Common Multiple of 14688 and 14704?

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 14688 and 14704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14688 and 14704, than apply into the LCM equation.

GCF(14688,14704) = 16
LCM(14688,14704) = ( 14688 × 14704) / 16
LCM(14688,14704) = 215972352 / 16
LCM(14688,14704) = 13498272

Least Common Multiple (LCM) of 14688 and 14704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14688 and 14704. First we will calculate the prime factors of 14688 and 14704.

Prime Factorization of 14688

Prime Factorization of 14704

Now multiplying the highest exponent prime factors to calculate the LCM of 14688 and 14704.

LCM(14688,14704) = 2⁵ × 3³ × 17¹ × 919¹
LCM(14688,14704) = 13498272