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What is the Least Common Multiple of 17791 and 17800?

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 17791 and 17800 is 316679800.

LCM(17791,17800) = 316679800

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Least Common Multiple of 17791 and 17800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17791 and 17800, than apply into the LCM equation.

GCF(17791,17800) = 1
LCM(17791,17800) = ( 17791 × 17800) / 1
LCM(17791,17800) = 316679800 / 1
LCM(17791,17800) = 316679800

Least Common Multiple (LCM) of 17791 and 17800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17791 and 17800. First we will calculate the prime factors of 17791 and 17800.

Prime Factorization of 17791

Prime factors of 17791 are 17791. Prime factorization of 17791 in exponential form is:

17791 = 177911

Prime Factorization of 17800

Prime factors of 17800 are 2, 5, 89. Prime factorization of 17800 in exponential form is:

17800 = 23 × 52 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 17791 and 17800.

LCM(17791,17800) = 177911 × 23 × 52 × 891
LCM(17791,17800) = 316679800