GCF and LCM Calculator Logo

What is the Least Common Multiple of 3382 and 3391?

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 3382 and 3391 is 11468362.

LCM(3382,3391) = 11468362

LCM Calculator and
and

Least Common Multiple of 3382 and 3391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3382 and 3391, than apply into the LCM equation.

GCF(3382,3391) = 1
LCM(3382,3391) = ( 3382 × 3391) / 1
LCM(3382,3391) = 11468362 / 1
LCM(3382,3391) = 11468362

Least Common Multiple (LCM) of 3382 and 3391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3382 and 3391. First we will calculate the prime factors of 3382 and 3391.

Prime Factorization of 3382

Prime factors of 3382 are 2, 19, 89. Prime factorization of 3382 in exponential form is:

3382 = 21 × 191 × 891

Prime Factorization of 3391

Prime factors of 3391 are 3391. Prime factorization of 3391 in exponential form is:

3391 = 33911

Now multiplying the highest exponent prime factors to calculate the LCM of 3382 and 3391.

LCM(3382,3391) = 21 × 191 × 891 × 33911
LCM(3382,3391) = 11468362