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What is the Least Common Multiple of 3241 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 3241 and 3253 is 10542973.

LCM(3241,3253) = 10542973

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Least Common Multiple of 3241 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 3241 and 3253, than apply into the LCM equation.

GCF(3241,3253) = 1
LCM(3241,3253) = ( 3241 × 3253) / 1
LCM(3241,3253) = 10542973 / 1
LCM(3241,3253) = 10542973

Least Common Multiple (LCM) of 3241 and 3253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3241 and 3253. First we will calculate the prime factors of 3241 and 3253.

Prime Factorization of 3241

Prime factors of 3241 are 7, 463. Prime factorization of 3241 in exponential form is:

3241 = 71 × 4631

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 3241 and 3253.

LCM(3241,3253) = 71 × 4631 × 32531
LCM(3241,3253) = 10542973