What is the Least Common Multiple of 13428 and 13438?

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 13428 and 13438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13428 and 13438, than apply into the LCM equation.

GCF(13428,13438) = 2
LCM(13428,13438) = ( 13428 × 13438) / 2
LCM(13428,13438) = 180445464 / 2
LCM(13428,13438) = 90222732

Least Common Multiple (LCM) of 13428 and 13438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13428 and 13438. First we will calculate the prime factors of 13428 and 13438.

Prime Factorization of 13428

Prime Factorization of 13438

Now multiplying the highest exponent prime factors to calculate the LCM of 13428 and 13438.

LCM(13428,13438) = 2² × 3² × 373¹ × 6719¹
LCM(13428,13438) = 90222732