What is the Least Common Multiple of 13238 and 13248?

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 13238 and 13248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13238 and 13248, than apply into the LCM equation.

GCF(13238,13248) = 2
LCM(13238,13248) = ( 13238 × 13248) / 2
LCM(13238,13248) = 175377024 / 2
LCM(13238,13248) = 87688512

Least Common Multiple (LCM) of 13238 and 13248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13238 and 13248. First we will calculate the prime factors of 13238 and 13248.

Prime Factorization of 13238

Prime Factorization of 13248

Now multiplying the highest exponent prime factors to calculate the LCM of 13238 and 13248.

LCM(13238,13248) = 2⁶ × 6619¹ × 3² × 23¹
LCM(13238,13248) = 87688512