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What is the Least Common Multiple of 3247 and 3253?

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 3247 and 3253 is 10562491.

LCM(3247,3253) = 10562491

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Least Common Multiple of 3247 and 3253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3247 and 3253, than apply into the LCM equation.

GCF(3247,3253) = 1
LCM(3247,3253) = ( 3247 × 3253) / 1
LCM(3247,3253) = 10562491 / 1
LCM(3247,3253) = 10562491

Least Common Multiple (LCM) of 3247 and 3253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3247 and 3253. First we will calculate the prime factors of 3247 and 3253.

Prime Factorization of 3247

Prime factors of 3247 are 17, 191. Prime factorization of 3247 in exponential form is:

3247 = 171 × 1911

Prime Factorization of 3253

Prime factors of 3253 are 3253. Prime factorization of 3253 in exponential form is:

3253 = 32531

Now multiplying the highest exponent prime factors to calculate the LCM of 3247 and 3253.

LCM(3247,3253) = 171 × 1911 × 32531
LCM(3247,3253) = 10562491