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What is the Least Common Multiple of 16106 and 16126?

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 16106 and 16126 is 129862678.

LCM(16106,16126) = 129862678

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Least Common Multiple of 16106 and 16126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16106 and 16126, than apply into the LCM equation.

GCF(16106,16126) = 2
LCM(16106,16126) = ( 16106 × 16126) / 2
LCM(16106,16126) = 259725356 / 2
LCM(16106,16126) = 129862678

Least Common Multiple (LCM) of 16106 and 16126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16106 and 16126. First we will calculate the prime factors of 16106 and 16126.

Prime Factorization of 16106

Prime factors of 16106 are 2, 8053. Prime factorization of 16106 in exponential form is:

16106 = 21 × 80531

Prime Factorization of 16126

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

16126 = 21 × 111 × 7331

Now multiplying the highest exponent prime factors to calculate the LCM of 16106 and 16126.

LCM(16106,16126) = 21 × 80531 × 111 × 7331
LCM(16106,16126) = 129862678