GCF and LCM Calculator Logo

What is the Least Common Multiple of 6459 and 6474?

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 6459 and 6474 is 13938522.

LCM(6459,6474) = 13938522

LCM Calculator and
and

Least Common Multiple of 6459 and 6474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6459 and 6474, than apply into the LCM equation.

GCF(6459,6474) = 3
LCM(6459,6474) = ( 6459 × 6474) / 3
LCM(6459,6474) = 41815566 / 3
LCM(6459,6474) = 13938522

Least Common Multiple (LCM) of 6459 and 6474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6459 and 6474. First we will calculate the prime factors of 6459 and 6474.

Prime Factorization of 6459

Prime factors of 6459 are 3, 2153. Prime factorization of 6459 in exponential form is:

6459 = 31 × 21531

Prime Factorization of 6474

Prime factors of 6474 are 2, 3, 13, 83. Prime factorization of 6474 in exponential form is:

6474 = 21 × 31 × 131 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 6459 and 6474.

LCM(6459,6474) = 31 × 21531 × 21 × 131 × 831
LCM(6459,6474) = 13938522