What is the Least Common Multiple of 13464 and 13472?

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 13464 and 13472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13464 and 13472, than apply into the LCM equation.

GCF(13464,13472) = 8
LCM(13464,13472) = ( 13464 × 13472) / 8
LCM(13464,13472) = 181387008 / 8
LCM(13464,13472) = 22673376

Least Common Multiple (LCM) of 13464 and 13472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13464 and 13472. First we will calculate the prime factors of 13464 and 13472.

Prime Factorization of 13464

Prime Factorization of 13472

Now multiplying the highest exponent prime factors to calculate the LCM of 13464 and 13472.

LCM(13464,13472) = 2⁵ × 3² × 11¹ × 17¹ × 421¹
LCM(13464,13472) = 22673376