What is the Least Common Multiple of 13509 and 13521?

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 13509 and 13521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13509 and 13521, than apply into the LCM equation.

GCF(13509,13521) = 3
LCM(13509,13521) = ( 13509 × 13521) / 3
LCM(13509,13521) = 182655189 / 3
LCM(13509,13521) = 60885063

Least Common Multiple (LCM) of 13509 and 13521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13509 and 13521. First we will calculate the prime factors of 13509 and 13521.

Prime Factorization of 13509

Prime Factorization of 13521

Now multiplying the highest exponent prime factors to calculate the LCM of 13509 and 13521.

LCM(13509,13521) = 3² × 19¹ × 79¹ × 4507¹
LCM(13509,13521) = 60885063