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What is the Least Common Multiple of 16149 and 16169?

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 16149 and 16169 is 261113181.

LCM(16149,16169) = 261113181

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Least Common Multiple of 16149 and 16169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16149 and 16169, than apply into the LCM equation.

GCF(16149,16169) = 1
LCM(16149,16169) = ( 16149 × 16169) / 1
LCM(16149,16169) = 261113181 / 1
LCM(16149,16169) = 261113181

Least Common Multiple (LCM) of 16149 and 16169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16149 and 16169. First we will calculate the prime factors of 16149 and 16169.

Prime Factorization of 16149

Prime factors of 16149 are 3, 7, 769. Prime factorization of 16149 in exponential form is:

16149 = 31 × 71 × 7691

Prime Factorization of 16169

Prime factors of 16169 are 19, 23, 37. Prime factorization of 16169 in exponential form is:

16169 = 191 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 16149 and 16169.

LCM(16149,16169) = 31 × 71 × 7691 × 191 × 231 × 371
LCM(16149,16169) = 261113181