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What is the Least Common Multiple of 17816 and 17827?

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 17816 and 17827 is 317605832.

LCM(17816,17827) = 317605832

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Least Common Multiple of 17816 and 17827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17816 and 17827, than apply into the LCM equation.

GCF(17816,17827) = 1
LCM(17816,17827) = ( 17816 × 17827) / 1
LCM(17816,17827) = 317605832 / 1
LCM(17816,17827) = 317605832

Least Common Multiple (LCM) of 17816 and 17827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17816 and 17827. First we will calculate the prime factors of 17816 and 17827.

Prime Factorization of 17816

Prime factors of 17816 are 2, 17, 131. Prime factorization of 17816 in exponential form is:

17816 = 23 × 171 × 1311

Prime Factorization of 17827

Prime factors of 17827 are 17827. Prime factorization of 17827 in exponential form is:

17827 = 178271

Now multiplying the highest exponent prime factors to calculate the LCM of 17816 and 17827.

LCM(17816,17827) = 23 × 171 × 1311 × 178271
LCM(17816,17827) = 317605832