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What is the Least Common Multiple of 17890 and 17908?

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 17890 and 17908 is 160187060.

LCM(17890,17908) = 160187060

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Least Common Multiple of 17890 and 17908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17890 and 17908, than apply into the LCM equation.

GCF(17890,17908) = 2
LCM(17890,17908) = ( 17890 × 17908) / 2
LCM(17890,17908) = 320374120 / 2
LCM(17890,17908) = 160187060

Least Common Multiple (LCM) of 17890 and 17908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17890 and 17908. First we will calculate the prime factors of 17890 and 17908.

Prime Factorization of 17890

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

17890 = 21 × 51 × 17891

Prime Factorization of 17908

Prime factors of 17908 are 2, 11, 37. Prime factorization of 17908 in exponential form is:

17908 = 22 × 112 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 17890 and 17908.

LCM(17890,17908) = 22 × 51 × 17891 × 112 × 371
LCM(17890,17908) = 160187060