What is the Least Common Multiple of 13514 and 13531?

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 13514 and 13531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13514 and 13531, than apply into the LCM equation.

GCF(13514,13531) = 1
LCM(13514,13531) = ( 13514 × 13531) / 1
LCM(13514,13531) = 182857934 / 1
LCM(13514,13531) = 182857934

Least Common Multiple (LCM) of 13514 and 13531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13514 and 13531. First we will calculate the prime factors of 13514 and 13531.

Prime Factorization of 13514

Prime Factorization of 13531

Now multiplying the highest exponent prime factors to calculate the LCM of 13514 and 13531.

LCM(13514,13531) = 2¹ × 29¹ × 233¹ × 7¹ × 1933¹
LCM(13514,13531) = 182857934