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What is the Least Common Multiple of 17873 and 17886?

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 17873 and 17886 is 319676478.

LCM(17873,17886) = 319676478

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Least Common Multiple of 17873 and 17886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17873 and 17886, than apply into the LCM equation.

GCF(17873,17886) = 1
LCM(17873,17886) = ( 17873 × 17886) / 1
LCM(17873,17886) = 319676478 / 1
LCM(17873,17886) = 319676478

Least Common Multiple (LCM) of 17873 and 17886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17873 and 17886. First we will calculate the prime factors of 17873 and 17886.

Prime Factorization of 17873

Prime factors of 17873 are 61, 293. Prime factorization of 17873 in exponential form is:

17873 = 611 × 2931

Prime Factorization of 17886

Prime factors of 17886 are 2, 3, 11, 271. Prime factorization of 17886 in exponential form is:

17886 = 21 × 31 × 111 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 17873 and 17886.

LCM(17873,17886) = 611 × 2931 × 21 × 31 × 111 × 2711
LCM(17873,17886) = 319676478