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What is the Least Common Multiple of 16110 and 16129?

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 16110 and 16129 is 259838190.

LCM(16110,16129) = 259838190

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Least Common Multiple of 16110 and 16129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16110 and 16129, than apply into the LCM equation.

GCF(16110,16129) = 1
LCM(16110,16129) = ( 16110 × 16129) / 1
LCM(16110,16129) = 259838190 / 1
LCM(16110,16129) = 259838190

Least Common Multiple (LCM) of 16110 and 16129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16110 and 16129. First we will calculate the prime factors of 16110 and 16129.

Prime Factorization of 16110

Prime factors of 16110 are 2, 3, 5, 179. Prime factorization of 16110 in exponential form is:

16110 = 21 × 32 × 51 × 1791

Prime Factorization of 16129

Prime factors of 16129 are 127. Prime factorization of 16129 in exponential form is:

16129 = 1272

Now multiplying the highest exponent prime factors to calculate the LCM of 16110 and 16129.

LCM(16110,16129) = 21 × 32 × 51 × 1791 × 1272
LCM(16110,16129) = 259838190