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What is the Least Common Multiple of 16241 and 16248?

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 16241 and 16248 is 263883768.

LCM(16241,16248) = 263883768

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Least Common Multiple of 16241 and 16248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16241 and 16248, than apply into the LCM equation.

GCF(16241,16248) = 1
LCM(16241,16248) = ( 16241 × 16248) / 1
LCM(16241,16248) = 263883768 / 1
LCM(16241,16248) = 263883768

Least Common Multiple (LCM) of 16241 and 16248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16241 and 16248. First we will calculate the prime factors of 16241 and 16248.

Prime Factorization of 16241

Prime factors of 16241 are 109, 149. Prime factorization of 16241 in exponential form is:

16241 = 1091 × 1491

Prime Factorization of 16248

Prime factors of 16248 are 2, 3, 677. Prime factorization of 16248 in exponential form is:

16248 = 23 × 31 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 16241 and 16248.

LCM(16241,16248) = 1091 × 1491 × 23 × 31 × 6771
LCM(16241,16248) = 263883768