GCF and LCM Calculator Logo

What is the Least Common Multiple of 13196 and 13203?

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 13196 and 13203 is 174226788.

LCM(13196,13203) = 174226788

LCM Calculator and
and

Least Common Multiple of 13196 and 13203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13196 and 13203, than apply into the LCM equation.

GCF(13196,13203) = 1
LCM(13196,13203) = ( 13196 × 13203) / 1
LCM(13196,13203) = 174226788 / 1
LCM(13196,13203) = 174226788

Least Common Multiple (LCM) of 13196 and 13203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13196 and 13203. First we will calculate the prime factors of 13196 and 13203.

Prime Factorization of 13196

Prime factors of 13196 are 2, 3299. Prime factorization of 13196 in exponential form is:

13196 = 22 × 32991

Prime Factorization of 13203

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

13203 = 34 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 13196 and 13203.

LCM(13196,13203) = 22 × 32991 × 34 × 1631
LCM(13196,13203) = 174226788