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What is the Least Common Multiple of 13203 and 13208?

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 13208 is 174385224.

LCM(13203,13208) = 174385224

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Least Common Multiple of 13203 and 13208 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 13208, than apply into the LCM equation.

GCF(13203,13208) = 1
LCM(13203,13208) = ( 13203 × 13208) / 1
LCM(13203,13208) = 174385224 / 1
LCM(13203,13208) = 174385224

Least Common Multiple (LCM) of 13203 and 13208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13203 and 13208. First we will calculate the prime factors of 13203 and 13208.

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 13208

Prime factors of 13208 are 2, 13, 127. Prime factorization of 13208 in exponential form is:

13208 = 23 × 131 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 13203 and 13208.

LCM(13203,13208) = 34 × 1631 × 23 × 131 × 1271
LCM(13203,13208) = 174385224