GCF and LCM Calculator Logo

What is the Least Common Multiple of 3459 and 3476?

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 3459 and 3476 is 12023484.

LCM(3459,3476) = 12023484

LCM Calculator and
and

Least Common Multiple of 3459 and 3476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3459 and 3476, than apply into the LCM equation.

GCF(3459,3476) = 1
LCM(3459,3476) = ( 3459 × 3476) / 1
LCM(3459,3476) = 12023484 / 1
LCM(3459,3476) = 12023484

Least Common Multiple (LCM) of 3459 and 3476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3459 and 3476. First we will calculate the prime factors of 3459 and 3476.

Prime Factorization of 3459

Prime factors of 3459 are 3, 1153. Prime factorization of 3459 in exponential form is:

3459 = 31 × 11531

Prime Factorization of 3476

Prime factors of 3476 are 2, 11, 79. Prime factorization of 3476 in exponential form is:

3476 = 22 × 111 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 3459 and 3476.

LCM(3459,3476) = 31 × 11531 × 22 × 111 × 791
LCM(3459,3476) = 12023484