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What is the Least Common Multiple of 13187 and 13200?

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 13187 and 13200 is 174068400.

LCM(13187,13200) = 174068400

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Least Common Multiple of 13187 and 13200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13187 and 13200, than apply into the LCM equation.

GCF(13187,13200) = 1
LCM(13187,13200) = ( 13187 × 13200) / 1
LCM(13187,13200) = 174068400 / 1
LCM(13187,13200) = 174068400

Least Common Multiple (LCM) of 13187 and 13200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13187 and 13200. First we will calculate the prime factors of 13187 and 13200.

Prime Factorization of 13187

Prime factors of 13187 are 13187. Prime factorization of 13187 in exponential form is:

13187 = 131871

Prime Factorization of 13200

Prime factors of 13200 are 2, 3, 5, 11. Prime factorization of 13200 in exponential form is:

13200 = 24 × 31 × 52 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 13187 and 13200.

LCM(13187,13200) = 131871 × 24 × 31 × 52 × 111
LCM(13187,13200) = 174068400