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What is the Least Common Multiple of 13188 and 13206?

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 13188 and 13206 is 29026788.

LCM(13188,13206) = 29026788

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Least Common Multiple of 13188 and 13206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13188 and 13206, than apply into the LCM equation.

GCF(13188,13206) = 6
LCM(13188,13206) = ( 13188 × 13206) / 6
LCM(13188,13206) = 174160728 / 6
LCM(13188,13206) = 29026788

Least Common Multiple (LCM) of 13188 and 13206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13188 and 13206. First we will calculate the prime factors of 13188 and 13206.

Prime Factorization of 13188

Prime factors of 13188 are 2, 3, 7, 157. Prime factorization of 13188 in exponential form is:

13188 = 22 × 31 × 71 × 1571

Prime Factorization of 13206

Prime factors of 13206 are 2, 3, 31, 71. Prime factorization of 13206 in exponential form is:

13206 = 21 × 31 × 311 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 13188 and 13206.

LCM(13188,13206) = 22 × 31 × 71 × 1571 × 311 × 711
LCM(13188,13206) = 29026788