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What is the Least Common Multiple of 16027 and 16045?

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 16045 is 257153215.

LCM(16027,16045) = 257153215

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Least Common Multiple of 16027 and 16045 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 16045, than apply into the LCM equation.

GCF(16027,16045) = 1
LCM(16027,16045) = ( 16027 × 16045) / 1
LCM(16027,16045) = 257153215 / 1
LCM(16027,16045) = 257153215

Least Common Multiple (LCM) of 16027 and 16045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16027 and 16045. First we will calculate the prime factors of 16027 and 16045.

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 16045

Prime factors of 16045 are 5, 3209. Prime factorization of 16045 in exponential form is:

16045 = 51 × 32091

Now multiplying the highest exponent prime factors to calculate the LCM of 16027 and 16045.

LCM(16027,16045) = 111 × 311 × 471 × 51 × 32091
LCM(16027,16045) = 257153215