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What is the Least Common Multiple of 16259 and 16263?

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 16259 and 16263 is 264420117.

LCM(16259,16263) = 264420117

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Least Common Multiple of 16259 and 16263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16259 and 16263, than apply into the LCM equation.

GCF(16259,16263) = 1
LCM(16259,16263) = ( 16259 × 16263) / 1
LCM(16259,16263) = 264420117 / 1
LCM(16259,16263) = 264420117

Least Common Multiple (LCM) of 16259 and 16263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16259 and 16263. First we will calculate the prime factors of 16259 and 16263.

Prime Factorization of 16259

Prime factors of 16259 are 71, 229. Prime factorization of 16259 in exponential form is:

16259 = 711 × 2291

Prime Factorization of 16263

Prime factors of 16263 are 3, 13, 139. Prime factorization of 16263 in exponential form is:

16263 = 32 × 131 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 16259 and 16263.

LCM(16259,16263) = 711 × 2291 × 32 × 131 × 1391
LCM(16259,16263) = 264420117