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What is the Least Common Multiple of 16286 and 16306?

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 16286 and 16306 is 132779758.

LCM(16286,16306) = 132779758

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Least Common Multiple of 16286 and 16306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16286 and 16306, than apply into the LCM equation.

GCF(16286,16306) = 2
LCM(16286,16306) = ( 16286 × 16306) / 2
LCM(16286,16306) = 265559516 / 2
LCM(16286,16306) = 132779758

Least Common Multiple (LCM) of 16286 and 16306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16286 and 16306. First we will calculate the prime factors of 16286 and 16306.

Prime Factorization of 16286

Prime factors of 16286 are 2, 17, 479. Prime factorization of 16286 in exponential form is:

16286 = 21 × 171 × 4791

Prime Factorization of 16306

Prime factors of 16306 are 2, 31, 263. Prime factorization of 16306 in exponential form is:

16306 = 21 × 311 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 16286 and 16306.

LCM(16286,16306) = 21 × 171 × 4791 × 311 × 2631
LCM(16286,16306) = 132779758