GCF and LCM Calculator Logo

What is the Least Common Multiple of 6457 and 6466?

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 6457 and 6466 is 41750962.

LCM(6457,6466) = 41750962

LCM Calculator and
and

Least Common Multiple of 6457 and 6466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6457 and 6466, than apply into the LCM equation.

GCF(6457,6466) = 1
LCM(6457,6466) = ( 6457 × 6466) / 1
LCM(6457,6466) = 41750962 / 1
LCM(6457,6466) = 41750962

Least Common Multiple (LCM) of 6457 and 6466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6457 and 6466. First we will calculate the prime factors of 6457 and 6466.

Prime Factorization of 6457

Prime factors of 6457 are 11, 587. Prime factorization of 6457 in exponential form is:

6457 = 111 × 5871

Prime Factorization of 6466

Prime factors of 6466 are 2, 53, 61. Prime factorization of 6466 in exponential form is:

6466 = 21 × 531 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 6457 and 6466.

LCM(6457,6466) = 111 × 5871 × 21 × 531 × 611
LCM(6457,6466) = 41750962