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What is the Least Common Multiple of 3396 and 3412?

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 3396 and 3412 is 2896788.

LCM(3396,3412) = 2896788

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Least Common Multiple of 3396 and 3412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3396 and 3412, than apply into the LCM equation.

GCF(3396,3412) = 4
LCM(3396,3412) = ( 3396 × 3412) / 4
LCM(3396,3412) = 11587152 / 4
LCM(3396,3412) = 2896788

Least Common Multiple (LCM) of 3396 and 3412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3396 and 3412. First we will calculate the prime factors of 3396 and 3412.

Prime Factorization of 3396

Prime factors of 3396 are 2, 3, 283. Prime factorization of 3396 in exponential form is:

3396 = 22 × 31 × 2831

Prime Factorization of 3412

Prime factors of 3412 are 2, 853. Prime factorization of 3412 in exponential form is:

3412 = 22 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 3396 and 3412.

LCM(3396,3412) = 22 × 31 × 2831 × 8531
LCM(3396,3412) = 2896788