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What is the Least Common Multiple of 3448 and 3459?

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 3448 and 3459 is 11926632.

LCM(3448,3459) = 11926632

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Least Common Multiple of 3448 and 3459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3448 and 3459, than apply into the LCM equation.

GCF(3448,3459) = 1
LCM(3448,3459) = ( 3448 × 3459) / 1
LCM(3448,3459) = 11926632 / 1
LCM(3448,3459) = 11926632

Least Common Multiple (LCM) of 3448 and 3459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3448 and 3459. First we will calculate the prime factors of 3448 and 3459.

Prime Factorization of 3448

Prime factors of 3448 are 2, 431. Prime factorization of 3448 in exponential form is:

3448 = 23 × 4311

Prime Factorization of 3459

Prime factors of 3459 are 3, 1153. Prime factorization of 3459 in exponential form is:

3459 = 31 × 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 3448 and 3459.

LCM(3448,3459) = 23 × 4311 × 31 × 11531
LCM(3448,3459) = 11926632