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What is the Least Common Multiple of 18109 and 18122?

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 18109 and 18122 is 25243946.

LCM(18109,18122) = 25243946

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Least Common Multiple of 18109 and 18122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18109 and 18122, than apply into the LCM equation.

GCF(18109,18122) = 13
LCM(18109,18122) = ( 18109 × 18122) / 13
LCM(18109,18122) = 328171298 / 13
LCM(18109,18122) = 25243946

Least Common Multiple (LCM) of 18109 and 18122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18109 and 18122. First we will calculate the prime factors of 18109 and 18122.

Prime Factorization of 18109

Prime factors of 18109 are 7, 13, 199. Prime factorization of 18109 in exponential form is:

18109 = 71 × 131 × 1991

Prime Factorization of 18122

Prime factors of 18122 are 2, 13, 17, 41. Prime factorization of 18122 in exponential form is:

18122 = 21 × 131 × 171 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 18109 and 18122.

LCM(18109,18122) = 71 × 131 × 1991 × 21 × 171 × 411
LCM(18109,18122) = 25243946