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What is the Least Common Multiple of 17794 and 17812?

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 17812 is 158473364.

LCM(17794,17812) = 158473364

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Least Common Multiple of 17794 and 17812 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 17812, than apply into the LCM equation.

GCF(17794,17812) = 2
LCM(17794,17812) = ( 17794 × 17812) / 2
LCM(17794,17812) = 316946728 / 2
LCM(17794,17812) = 158473364

Least Common Multiple (LCM) of 17794 and 17812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17794 and 17812. First we will calculate the prime factors of 17794 and 17812.

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 17812

Prime factors of 17812 are 2, 61, 73. Prime factorization of 17812 in exponential form is:

17812 = 22 × 611 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 17794 and 17812.

LCM(17794,17812) = 22 × 71 × 311 × 411 × 611 × 731
LCM(17794,17812) = 158473364