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What is the Least Common Multiple of 17886 and 17894?

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 17886 and 17894 is 160026042.

LCM(17886,17894) = 160026042

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Least Common Multiple of 17886 and 17894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17886 and 17894, than apply into the LCM equation.

GCF(17886,17894) = 2
LCM(17886,17894) = ( 17886 × 17894) / 2
LCM(17886,17894) = 320052084 / 2
LCM(17886,17894) = 160026042

Least Common Multiple (LCM) of 17886 and 17894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17886 and 17894. First we will calculate the prime factors of 17886 and 17894.

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

Prime Factorization of 17894

Prime factors of 17894 are 2, 23, 389. Prime factorization of 17894 in exponential form is:

17894 = 21 × 231 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 17886 and 17894.

LCM(17886,17894) = 21 × 31 × 111 × 2711 × 231 × 3891
LCM(17886,17894) = 160026042