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What is the Least Common Multiple of 16438 and 16447?

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 16438 and 16447 is 270355786.

LCM(16438,16447) = 270355786

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Least Common Multiple of 16438 and 16447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16438 and 16447, than apply into the LCM equation.

GCF(16438,16447) = 1
LCM(16438,16447) = ( 16438 × 16447) / 1
LCM(16438,16447) = 270355786 / 1
LCM(16438,16447) = 270355786

Least Common Multiple (LCM) of 16438 and 16447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16438 and 16447. First we will calculate the prime factors of 16438 and 16447.

Prime Factorization of 16438

Prime factors of 16438 are 2, 8219. Prime factorization of 16438 in exponential form is:

16438 = 21 × 82191

Prime Factorization of 16447

Prime factors of 16447 are 16447. Prime factorization of 16447 in exponential form is:

16447 = 164471

Now multiplying the highest exponent prime factors to calculate the LCM of 16438 and 16447.

LCM(16438,16447) = 21 × 82191 × 164471
LCM(16438,16447) = 270355786