GCF and LCM Calculator Logo

What is the Least Common Multiple of 13203 and 13210?

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 13203 and 13210 is 174411630.

LCM(13203,13210) = 174411630

LCM Calculator and
and

Least Common Multiple of 13203 and 13210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13203 and 13210, than apply into the LCM equation.

GCF(13203,13210) = 1
LCM(13203,13210) = ( 13203 × 13210) / 1
LCM(13203,13210) = 174411630 / 1
LCM(13203,13210) = 174411630

Least Common Multiple (LCM) of 13203 and 13210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13203 and 13210. First we will calculate the prime factors of 13203 and 13210.

Prime Factorization of 13203

Prime factors of 13203 are 3, 163. Prime factorization of 13203 in exponential form is:

13203 = 34 × 1631

Prime Factorization of 13210

Prime factors of 13210 are 2, 5, 1321. Prime factorization of 13210 in exponential form is:

13210 = 21 × 51 × 13211

Now multiplying the highest exponent prime factors to calculate the LCM of 13203 and 13210.

LCM(13203,13210) = 34 × 1631 × 21 × 51 × 13211
LCM(13203,13210) = 174411630