What is the Least Common Multiple of 13431 and 13451?

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 13451 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 13451, than apply into the LCM equation.

GCF(13431,13451) = 1
LCM(13431,13451) = ( 13431 × 13451) / 1
LCM(13431,13451) = 180660381 / 1
LCM(13431,13451) = 180660381

Least Common Multiple (LCM) of 13431 and 13451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13431 and 13451. First we will calculate the prime factors of 13431 and 13451.

Prime Factorization of 13431

Prime Factorization of 13451

Now multiplying the highest exponent prime factors to calculate the LCM of 13431 and 13451.

LCM(13431,13451) = 3¹ × 11² × 37¹ × 13451¹
LCM(13431,13451) = 180660381