GCF and LCM Calculator Logo

What is the Least Common Multiple of 6458 and 6472?

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 6458 and 6472 is 20898088.

LCM(6458,6472) = 20898088

LCM Calculator and
and

Least Common Multiple of 6458 and 6472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6458 and 6472, than apply into the LCM equation.

GCF(6458,6472) = 2
LCM(6458,6472) = ( 6458 × 6472) / 2
LCM(6458,6472) = 41796176 / 2
LCM(6458,6472) = 20898088

Least Common Multiple (LCM) of 6458 and 6472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6458 and 6472. First we will calculate the prime factors of 6458 and 6472.

Prime Factorization of 6458

Prime factors of 6458 are 2, 3229. Prime factorization of 6458 in exponential form is:

6458 = 21 × 32291

Prime Factorization of 6472

Prime factors of 6472 are 2, 809. Prime factorization of 6472 in exponential form is:

6472 = 23 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 6458 and 6472.

LCM(6458,6472) = 23 × 32291 × 8091
LCM(6458,6472) = 20898088