GCF and LCM Calculator Logo

What is the Least Common Multiple of 3401 and 3407?

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 3401 and 3407 is 11587207.

LCM(3401,3407) = 11587207

LCM Calculator and
and

Least Common Multiple of 3401 and 3407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3401 and 3407, than apply into the LCM equation.

GCF(3401,3407) = 1
LCM(3401,3407) = ( 3401 × 3407) / 1
LCM(3401,3407) = 11587207 / 1
LCM(3401,3407) = 11587207

Least Common Multiple (LCM) of 3401 and 3407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3401 and 3407. First we will calculate the prime factors of 3401 and 3407.

Prime Factorization of 3401

Prime factors of 3401 are 19, 179. Prime factorization of 3401 in exponential form is:

3401 = 191 × 1791

Prime Factorization of 3407

Prime factors of 3407 are 3407. Prime factorization of 3407 in exponential form is:

3407 = 34071

Now multiplying the highest exponent prime factors to calculate the LCM of 3401 and 3407.

LCM(3401,3407) = 191 × 1791 × 34071
LCM(3401,3407) = 11587207