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What is the Least Common Multiple of 17886 and 17890?

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 17890 is 159990270.

LCM(17886,17890) = 159990270

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Least Common Multiple of 17886 and 17890 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 17890, than apply into the LCM equation.

GCF(17886,17890) = 2
LCM(17886,17890) = ( 17886 × 17890) / 2
LCM(17886,17890) = 319980540 / 2
LCM(17886,17890) = 159990270

Least Common Multiple (LCM) of 17886 and 17890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17886 and 17890. First we will calculate the prime factors of 17886 and 17890.

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 17890

Prime factors of 17890 are 2, 5, 1789. Prime factorization of 17890 in exponential form is:

17890 = 21 × 51 × 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 17886 and 17890.

LCM(17886,17890) = 21 × 31 × 111 × 2711 × 51 × 17891
LCM(17886,17890) = 159990270