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What is the Least Common Multiple of 3236 and 3243?

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 3236 and 3243 is 10494348.

LCM(3236,3243) = 10494348

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Least Common Multiple of 3236 and 3243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3236 and 3243, than apply into the LCM equation.

GCF(3236,3243) = 1
LCM(3236,3243) = ( 3236 × 3243) / 1
LCM(3236,3243) = 10494348 / 1
LCM(3236,3243) = 10494348

Least Common Multiple (LCM) of 3236 and 3243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3236 and 3243. First we will calculate the prime factors of 3236 and 3243.

Prime Factorization of 3236

Prime factors of 3236 are 2, 809. Prime factorization of 3236 in exponential form is:

3236 = 22 × 8091

Prime Factorization of 3243

Prime factors of 3243 are 3, 23, 47. Prime factorization of 3243 in exponential form is:

3243 = 31 × 231 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 3236 and 3243.

LCM(3236,3243) = 22 × 8091 × 31 × 231 × 471
LCM(3236,3243) = 10494348