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What is the Least Common Multiple of 16027 and 16042?

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 16027 and 16042 is 257105134.

LCM(16027,16042) = 257105134

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Least Common Multiple of 16027 and 16042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16027 and 16042, than apply into the LCM equation.

GCF(16027,16042) = 1
LCM(16027,16042) = ( 16027 × 16042) / 1
LCM(16027,16042) = 257105134 / 1
LCM(16027,16042) = 257105134

Least Common Multiple (LCM) of 16027 and 16042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16027 and 16042. First we will calculate the prime factors of 16027 and 16042.

Prime Factorization of 16027

Prime factors of 16027 are 11, 31, 47. Prime factorization of 16027 in exponential form is:

16027 = 111 × 311 × 471

Prime Factorization of 16042

Prime factors of 16042 are 2, 13, 617. Prime factorization of 16042 in exponential form is:

16042 = 21 × 131 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 16027 and 16042.

LCM(16027,16042) = 111 × 311 × 471 × 21 × 131 × 6171
LCM(16027,16042) = 257105134