What is the Least Common Multiple of 13513 and 13528?

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 13513 and 13528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13513 and 13528, than apply into the LCM equation.

GCF(13513,13528) = 1
LCM(13513,13528) = ( 13513 × 13528) / 1
LCM(13513,13528) = 182803864 / 1
LCM(13513,13528) = 182803864

Least Common Multiple (LCM) of 13513 and 13528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13513 and 13528. First we will calculate the prime factors of 13513 and 13528.

Prime Factorization of 13513

Prime Factorization of 13528

Now multiplying the highest exponent prime factors to calculate the LCM of 13513 and 13528.

LCM(13513,13528) = 13513¹ × 2³ × 19¹ × 89¹
LCM(13513,13528) = 182803864