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What is the Least Common Multiple of 17192 and 17196?

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 17192 and 17196 is 73908408.

LCM(17192,17196) = 73908408

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Least Common Multiple of 17192 and 17196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17192 and 17196, than apply into the LCM equation.

GCF(17192,17196) = 4
LCM(17192,17196) = ( 17192 × 17196) / 4
LCM(17192,17196) = 295633632 / 4
LCM(17192,17196) = 73908408

Least Common Multiple (LCM) of 17192 and 17196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17192 and 17196. First we will calculate the prime factors of 17192 and 17196.

Prime Factorization of 17192

Prime factors of 17192 are 2, 7, 307. Prime factorization of 17192 in exponential form is:

17192 = 23 × 71 × 3071

Prime Factorization of 17196

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

17196 = 22 × 31 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 17192 and 17196.

LCM(17192,17196) = 23 × 71 × 3071 × 31 × 14331
LCM(17192,17196) = 73908408