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What is the Least Common Multiple of 13204 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 13204 and 13210 is 87212420.

LCM(13204,13210) = 87212420

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Least Common Multiple of 13204 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 13204 and 13210, than apply into the LCM equation.

GCF(13204,13210) = 2
LCM(13204,13210) = ( 13204 × 13210) / 2
LCM(13204,13210) = 174424840 / 2
LCM(13204,13210) = 87212420

Least Common Multiple (LCM) of 13204 and 13210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13204 and 13210. First we will calculate the prime factors of 13204 and 13210.

Prime Factorization of 13204

Prime factors of 13204 are 2, 3301. Prime factorization of 13204 in exponential form is:

13204 = 22 × 33011

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 13204 and 13210.

LCM(13204,13210) = 22 × 33011 × 51 × 13211
LCM(13204,13210) = 87212420