What is the Least Common Multiple of 13248 and 13254?

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 13248 and 13254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13248 and 13254, than apply into the LCM equation.

GCF(13248,13254) = 6
LCM(13248,13254) = ( 13248 × 13254) / 6
LCM(13248,13254) = 175588992 / 6
LCM(13248,13254) = 29264832

Least Common Multiple (LCM) of 13248 and 13254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13248 and 13254. First we will calculate the prime factors of 13248 and 13254.

Prime Factorization of 13248

Prime Factorization of 13254

Now multiplying the highest exponent prime factors to calculate the LCM of 13248 and 13254.

LCM(13248,13254) = 2⁶ × 3² × 23¹ × 47²
LCM(13248,13254) = 29264832