GCF and LCM Calculator Logo

What is the Least Common Multiple of 6447 and 6460?

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 6447 and 6460 is 41647620.

LCM(6447,6460) = 41647620

LCM Calculator and
and

Least Common Multiple of 6447 and 6460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6447 and 6460, than apply into the LCM equation.

GCF(6447,6460) = 1
LCM(6447,6460) = ( 6447 × 6460) / 1
LCM(6447,6460) = 41647620 / 1
LCM(6447,6460) = 41647620

Least Common Multiple (LCM) of 6447 and 6460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6447 and 6460. First we will calculate the prime factors of 6447 and 6460.

Prime Factorization of 6447

Prime factors of 6447 are 3, 7, 307. Prime factorization of 6447 in exponential form is:

6447 = 31 × 71 × 3071

Prime Factorization of 6460

Prime factors of 6460 are 2, 5, 17, 19. Prime factorization of 6460 in exponential form is:

6460 = 22 × 51 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 6447 and 6460.

LCM(6447,6460) = 31 × 71 × 3071 × 22 × 51 × 171 × 191
LCM(6447,6460) = 41647620