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What is the Least Common Multiple of 17794 and 17808?

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 17794 and 17808 is 22633968.

LCM(17794,17808) = 22633968

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Least Common Multiple of 17794 and 17808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17794 and 17808, than apply into the LCM equation.

GCF(17794,17808) = 14
LCM(17794,17808) = ( 17794 × 17808) / 14
LCM(17794,17808) = 316875552 / 14
LCM(17794,17808) = 22633968

Least Common Multiple (LCM) of 17794 and 17808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17794 and 17808. First we will calculate the prime factors of 17794 and 17808.

Prime Factorization of 17794

Prime factors of 17794 are 2, 7, 31, 41. Prime factorization of 17794 in exponential form is:

17794 = 21 × 71 × 311 × 411

Prime Factorization of 17808

Prime factors of 17808 are 2, 3, 7, 53. Prime factorization of 17808 in exponential form is:

17808 = 24 × 31 × 71 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 17794 and 17808.

LCM(17794,17808) = 24 × 71 × 311 × 411 × 31 × 531
LCM(17794,17808) = 22633968