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What is the Least Common Multiple of 16236 and 16243?

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 16236 and 16243 is 263721348.

LCM(16236,16243) = 263721348

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Least Common Multiple of 16236 and 16243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16236 and 16243, than apply into the LCM equation.

GCF(16236,16243) = 1
LCM(16236,16243) = ( 16236 × 16243) / 1
LCM(16236,16243) = 263721348 / 1
LCM(16236,16243) = 263721348

Least Common Multiple (LCM) of 16236 and 16243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16236 and 16243. First we will calculate the prime factors of 16236 and 16243.

Prime Factorization of 16236

Prime factors of 16236 are 2, 3, 11, 41. Prime factorization of 16236 in exponential form is:

16236 = 22 × 32 × 111 × 411

Prime Factorization of 16243

Prime factors of 16243 are 37, 439. Prime factorization of 16243 in exponential form is:

16243 = 371 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 16236 and 16243.

LCM(16236,16243) = 22 × 32 × 111 × 411 × 371 × 4391
LCM(16236,16243) = 263721348