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What is the Least Common Multiple of 3427 and 3440?

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 3427 and 3440 is 11788880.

LCM(3427,3440) = 11788880

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Least Common Multiple of 3427 and 3440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3427 and 3440, than apply into the LCM equation.

GCF(3427,3440) = 1
LCM(3427,3440) = ( 3427 × 3440) / 1
LCM(3427,3440) = 11788880 / 1
LCM(3427,3440) = 11788880

Least Common Multiple (LCM) of 3427 and 3440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3427 and 3440. First we will calculate the prime factors of 3427 and 3440.

Prime Factorization of 3427

Prime factors of 3427 are 23, 149. Prime factorization of 3427 in exponential form is:

3427 = 231 × 1491

Prime Factorization of 3440

Prime factors of 3440 are 2, 5, 43. Prime factorization of 3440 in exponential form is:

3440 = 24 × 51 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 3427 and 3440.

LCM(3427,3440) = 231 × 1491 × 24 × 51 × 431
LCM(3427,3440) = 11788880