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What is the Least Common Multiple of 18910 and 18917?

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 18910 and 18917 is 357720470.

LCM(18910,18917) = 357720470

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Least Common Multiple of 18910 and 18917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18910 and 18917, than apply into the LCM equation.

GCF(18910,18917) = 1
LCM(18910,18917) = ( 18910 × 18917) / 1
LCM(18910,18917) = 357720470 / 1
LCM(18910,18917) = 357720470

Least Common Multiple (LCM) of 18910 and 18917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18910 and 18917. First we will calculate the prime factors of 18910 and 18917.

Prime Factorization of 18910

Prime factors of 18910 are 2, 5, 31, 61. Prime factorization of 18910 in exponential form is:

18910 = 21 × 51 × 311 × 611

Prime Factorization of 18917

Prime factors of 18917 are 18917. Prime factorization of 18917 in exponential form is:

18917 = 189171

Now multiplying the highest exponent prime factors to calculate the LCM of 18910 and 18917.

LCM(18910,18917) = 21 × 51 × 311 × 611 × 189171
LCM(18910,18917) = 357720470