GCF and LCM Calculator Logo

What is the Least Common Multiple of 6422 and 6432?

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 6422 and 6432 is 20653152.

LCM(6422,6432) = 20653152

LCM Calculator and
and

Least Common Multiple of 6422 and 6432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6422 and 6432, than apply into the LCM equation.

GCF(6422,6432) = 2
LCM(6422,6432) = ( 6422 × 6432) / 2
LCM(6422,6432) = 41306304 / 2
LCM(6422,6432) = 20653152

Least Common Multiple (LCM) of 6422 and 6432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6422 and 6432. First we will calculate the prime factors of 6422 and 6432.

Prime Factorization of 6422

Prime factors of 6422 are 2, 13, 19. Prime factorization of 6422 in exponential form is:

6422 = 21 × 132 × 191

Prime Factorization of 6432

Prime factors of 6432 are 2, 3, 67. Prime factorization of 6432 in exponential form is:

6432 = 25 × 31 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 6422 and 6432.

LCM(6422,6432) = 25 × 132 × 191 × 31 × 671
LCM(6422,6432) = 20653152