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What is the Least Common Multiple of 3374 and 3392?

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 3374 and 3392 is 5722304.

LCM(3374,3392) = 5722304

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Least Common Multiple of 3374 and 3392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3374 and 3392, than apply into the LCM equation.

GCF(3374,3392) = 2
LCM(3374,3392) = ( 3374 × 3392) / 2
LCM(3374,3392) = 11444608 / 2
LCM(3374,3392) = 5722304

Least Common Multiple (LCM) of 3374 and 3392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3374 and 3392. First we will calculate the prime factors of 3374 and 3392.

Prime Factorization of 3374

Prime factors of 3374 are 2, 7, 241. Prime factorization of 3374 in exponential form is:

3374 = 21 × 71 × 2411

Prime Factorization of 3392

Prime factors of 3392 are 2, 53. Prime factorization of 3392 in exponential form is:

3392 = 26 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 3374 and 3392.

LCM(3374,3392) = 26 × 71 × 2411 × 531
LCM(3374,3392) = 5722304