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What is the Least Common Multiple of 18154 and 18169?

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 18154 and 18169 is 329840026.

LCM(18154,18169) = 329840026

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Least Common Multiple of 18154 and 18169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18154 and 18169, than apply into the LCM equation.

GCF(18154,18169) = 1
LCM(18154,18169) = ( 18154 × 18169) / 1
LCM(18154,18169) = 329840026 / 1
LCM(18154,18169) = 329840026

Least Common Multiple (LCM) of 18154 and 18169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18154 and 18169. First we will calculate the prime factors of 18154 and 18169.

Prime Factorization of 18154

Prime factors of 18154 are 2, 29, 313. Prime factorization of 18154 in exponential form is:

18154 = 21 × 291 × 3131

Prime Factorization of 18169

Prime factors of 18169 are 18169. Prime factorization of 18169 in exponential form is:

18169 = 181691

Now multiplying the highest exponent prime factors to calculate the LCM of 18154 and 18169.

LCM(18154,18169) = 21 × 291 × 3131 × 181691
LCM(18154,18169) = 329840026