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What is the Least Common Multiple of 3440 and 3457?

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 3440 and 3457 is 11892080.

LCM(3440,3457) = 11892080

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Least Common Multiple of 3440 and 3457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3440 and 3457, than apply into the LCM equation.

GCF(3440,3457) = 1
LCM(3440,3457) = ( 3440 × 3457) / 1
LCM(3440,3457) = 11892080 / 1
LCM(3440,3457) = 11892080

Least Common Multiple (LCM) of 3440 and 3457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3440 and 3457. First we will calculate the prime factors of 3440 and 3457.

Prime Factorization of 3440

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

3440 = 24 × 51 × 431

Prime Factorization of 3457

Prime factors of 3457 are 3457. Prime factorization of 3457 in exponential form is:

3457 = 34571

Now multiplying the highest exponent prime factors to calculate the LCM of 3440 and 3457.

LCM(3440,3457) = 24 × 51 × 431 × 34571
LCM(3440,3457) = 11892080