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What is the Least Common Multiple of 16126 and 16131?

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 16126 and 16131 is 260128506.

LCM(16126,16131) = 260128506

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Least Common Multiple of 16126 and 16131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16126 and 16131, than apply into the LCM equation.

GCF(16126,16131) = 1
LCM(16126,16131) = ( 16126 × 16131) / 1
LCM(16126,16131) = 260128506 / 1
LCM(16126,16131) = 260128506

Least Common Multiple (LCM) of 16126 and 16131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16126 and 16131. First we will calculate the prime factors of 16126 and 16131.

Prime Factorization of 16126

Prime factors of 16126 are 2, 11, 733. Prime factorization of 16126 in exponential form is:

16126 = 21 × 111 × 7331

Prime Factorization of 16131

Prime factors of 16131 are 3, 19, 283. Prime factorization of 16131 in exponential form is:

16131 = 31 × 191 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 16126 and 16131.

LCM(16126,16131) = 21 × 111 × 7331 × 31 × 191 × 2831
LCM(16126,16131) = 260128506