GCF and LCM Calculator Logo

What is the Least Common Multiple of 3407 and 3418?

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 3407 and 3418 is 11645126.

LCM(3407,3418) = 11645126

LCM Calculator and
and

Least Common Multiple of 3407 and 3418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3407 and 3418, than apply into the LCM equation.

GCF(3407,3418) = 1
LCM(3407,3418) = ( 3407 × 3418) / 1
LCM(3407,3418) = 11645126 / 1
LCM(3407,3418) = 11645126

Least Common Multiple (LCM) of 3407 and 3418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3407 and 3418. First we will calculate the prime factors of 3407 and 3418.

Prime Factorization of 3407

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

3407 = 34071

Prime Factorization of 3418

Prime factors of 3418 are 2, 1709. Prime factorization of 3418 in exponential form is:

3418 = 21 × 17091

Now multiplying the highest exponent prime factors to calculate the LCM of 3407 and 3418.

LCM(3407,3418) = 34071 × 21 × 17091
LCM(3407,3418) = 11645126