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What is the Least Common Multiple of 17910 and 17918?

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 17910 and 17918 is 160455690.

LCM(17910,17918) = 160455690

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Least Common Multiple of 17910 and 17918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17910 and 17918, than apply into the LCM equation.

GCF(17910,17918) = 2
LCM(17910,17918) = ( 17910 × 17918) / 2
LCM(17910,17918) = 320911380 / 2
LCM(17910,17918) = 160455690

Least Common Multiple (LCM) of 17910 and 17918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17910 and 17918. First we will calculate the prime factors of 17910 and 17918.

Prime Factorization of 17910

Prime factors of 17910 are 2, 3, 5, 199. Prime factorization of 17910 in exponential form is:

17910 = 21 × 32 × 51 × 1991

Prime Factorization of 17918

Prime factors of 17918 are 2, 17, 31. Prime factorization of 17918 in exponential form is:

17918 = 21 × 172 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 17910 and 17918.

LCM(17910,17918) = 21 × 32 × 51 × 1991 × 172 × 311
LCM(17910,17918) = 160455690