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What is the Least Common Multiple of 17196 and 17206?

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 17196 and 17206 is 147937188.

LCM(17196,17206) = 147937188

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Least Common Multiple of 17196 and 17206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17196 and 17206, than apply into the LCM equation.

GCF(17196,17206) = 2
LCM(17196,17206) = ( 17196 × 17206) / 2
LCM(17196,17206) = 295874376 / 2
LCM(17196,17206) = 147937188

Least Common Multiple (LCM) of 17196 and 17206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17196 and 17206. First we will calculate the prime factors of 17196 and 17206.

Prime Factorization of 17196

Prime factors of 17196 are 2, 3, 1433. Prime factorization of 17196 in exponential form is:

17196 = 22 × 31 × 14331

Prime Factorization of 17206

Prime factors of 17206 are 2, 7, 1229. Prime factorization of 17206 in exponential form is:

17206 = 21 × 71 × 12291

Now multiplying the highest exponent prime factors to calculate the LCM of 17196 and 17206.

LCM(17196,17206) = 22 × 31 × 14331 × 71 × 12291
LCM(17196,17206) = 147937188