What is the Least Common Multiple of 13431 and 13436?

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 13431 and 13436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13431 and 13436, than apply into the LCM equation.

GCF(13431,13436) = 1
LCM(13431,13436) = ( 13431 × 13436) / 1
LCM(13431,13436) = 180458916 / 1
LCM(13431,13436) = 180458916

Least Common Multiple (LCM) of 13431 and 13436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13431 and 13436. First we will calculate the prime factors of 13431 and 13436.

Prime Factorization of 13431

Prime Factorization of 13436

Now multiplying the highest exponent prime factors to calculate the LCM of 13431 and 13436.

LCM(13431,13436) = 3¹ × 11² × 37¹ × 2² × 3359¹
LCM(13431,13436) = 180458916