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What is the Least Common Multiple of 3218 and 3233?

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 3218 and 3233 is 10403794.

LCM(3218,3233) = 10403794

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Least Common Multiple of 3218 and 3233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3218 and 3233, than apply into the LCM equation.

GCF(3218,3233) = 1
LCM(3218,3233) = ( 3218 × 3233) / 1
LCM(3218,3233) = 10403794 / 1
LCM(3218,3233) = 10403794

Least Common Multiple (LCM) of 3218 and 3233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3218 and 3233. First we will calculate the prime factors of 3218 and 3233.

Prime Factorization of 3218

Prime factors of 3218 are 2, 1609. Prime factorization of 3218 in exponential form is:

3218 = 21 × 16091

Prime Factorization of 3233

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

3233 = 531 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 3218 and 3233.

LCM(3218,3233) = 21 × 16091 × 531 × 611
LCM(3218,3233) = 10403794