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What is the Least Common Multiple of 3233 and 3249?

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 3233 and 3249 is 10504017.

LCM(3233,3249) = 10504017

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Least Common Multiple of 3233 and 3249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3233 and 3249, than apply into the LCM equation.

GCF(3233,3249) = 1
LCM(3233,3249) = ( 3233 × 3249) / 1
LCM(3233,3249) = 10504017 / 1
LCM(3233,3249) = 10504017

Least Common Multiple (LCM) of 3233 and 3249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3233 and 3249. First we will calculate the prime factors of 3233 and 3249.

Prime Factorization of 3233

Prime factors of 3233 are 53, 61. Prime factorization of 3233 in exponential form is:

3233 = 531 × 611

Prime Factorization of 3249

Prime factors of 3249 are 3, 19. Prime factorization of 3249 in exponential form is:

3249 = 32 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 3233 and 3249.

LCM(3233,3249) = 531 × 611 × 32 × 192
LCM(3233,3249) = 10504017