What is the Least Common Multiple of 13514 and 13529?

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 13529 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 13529, than apply into the LCM equation.

GCF(13514,13529) = 1
LCM(13514,13529) = ( 13514 × 13529) / 1
LCM(13514,13529) = 182830906 / 1
LCM(13514,13529) = 182830906

Least Common Multiple (LCM) of 13514 and 13529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13514 and 13529. First we will calculate the prime factors of 13514 and 13529.

Prime Factorization of 13514

Prime Factorization of 13529

Now multiplying the highest exponent prime factors to calculate the LCM of 13514 and 13529.

LCM(13514,13529) = 2¹ × 29¹ × 233¹ × 83¹ × 163¹
LCM(13514,13529) = 182830906