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What is the Least Common Multiple of 17198 and 17208?

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 17198 and 17208 is 147971592.

LCM(17198,17208) = 147971592

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Least Common Multiple of 17198 and 17208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17198 and 17208, than apply into the LCM equation.

GCF(17198,17208) = 2
LCM(17198,17208) = ( 17198 × 17208) / 2
LCM(17198,17208) = 295943184 / 2
LCM(17198,17208) = 147971592

Least Common Multiple (LCM) of 17198 and 17208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17198 and 17208. First we will calculate the prime factors of 17198 and 17208.

Prime Factorization of 17198

Prime factors of 17198 are 2, 8599. Prime factorization of 17198 in exponential form is:

17198 = 21 × 85991

Prime Factorization of 17208

Prime factors of 17208 are 2, 3, 239. Prime factorization of 17208 in exponential form is:

17208 = 23 × 32 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 17198 and 17208.

LCM(17198,17208) = 23 × 85991 × 32 × 2391
LCM(17198,17208) = 147971592