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What is the Least Common Multiple of 3383 and 3394?

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 3383 and 3394 is 11481902.

LCM(3383,3394) = 11481902

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Least Common Multiple of 3383 and 3394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3383 and 3394, than apply into the LCM equation.

GCF(3383,3394) = 1
LCM(3383,3394) = ( 3383 × 3394) / 1
LCM(3383,3394) = 11481902 / 1
LCM(3383,3394) = 11481902

Least Common Multiple (LCM) of 3383 and 3394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3383 and 3394. First we will calculate the prime factors of 3383 and 3394.

Prime Factorization of 3383

Prime factors of 3383 are 17, 199. Prime factorization of 3383 in exponential form is:

3383 = 171 × 1991

Prime Factorization of 3394

Prime factors of 3394 are 2, 1697. Prime factorization of 3394 in exponential form is:

3394 = 21 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 3383 and 3394.

LCM(3383,3394) = 171 × 1991 × 21 × 16971
LCM(3383,3394) = 11481902