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What is the Least Common Multiple of 16382 and 16402?

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 16382 and 16402 is 134348782.

LCM(16382,16402) = 134348782

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Least Common Multiple of 16382 and 16402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16382 and 16402, than apply into the LCM equation.

GCF(16382,16402) = 2
LCM(16382,16402) = ( 16382 × 16402) / 2
LCM(16382,16402) = 268697564 / 2
LCM(16382,16402) = 134348782

Least Common Multiple (LCM) of 16382 and 16402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16382 and 16402. First we will calculate the prime factors of 16382 and 16402.

Prime Factorization of 16382

Prime factors of 16382 are 2, 8191. Prime factorization of 16382 in exponential form is:

16382 = 21 × 81911

Prime Factorization of 16402

Prime factors of 16402 are 2, 59, 139. Prime factorization of 16402 in exponential form is:

16402 = 21 × 591 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 16382 and 16402.

LCM(16382,16402) = 21 × 81911 × 591 × 1391
LCM(16382,16402) = 134348782