GCF and LCM Calculator Logo

What is the Least Common Multiple of 13530 and 13535?

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 (LCM) of 13530 and 13535 is 36625710.

LCM(13530,13535) = 36625710

LCM Calculator and
and

Least Common Multiple of 13530 and 13535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13530 and 13535, than apply into the LCM equation.

GCF(13530,13535) = 5
LCM(13530,13535) = ( 13530 × 13535) / 5
LCM(13530,13535) = 183128550 / 5
LCM(13530,13535) = 36625710

Least Common Multiple (LCM) of 13530 and 13535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13530 and 13535. First we will calculate the prime factors of 13530 and 13535.

Prime Factorization of 13530

Prime factors of 13530 are 2, 3, 5, 11, 41. Prime factorization of 13530 in exponential form is:

13530 = 21 × 31 × 51 × 111 × 411

Prime Factorization of 13535

Prime factors of 13535 are 5, 2707. Prime factorization of 13535 in exponential form is:

13535 = 51 × 27071

Now multiplying the highest exponent prime factors to calculate the LCM of 13530 and 13535.

LCM(13530,13535) = 21 × 31 × 51 × 111 × 411 × 27071
LCM(13530,13535) = 36625710