GCF and LCM Calculator Logo

What is the Least Common Multiple of 6823 and 6832?

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 6823 and 6832 is 46614736.

LCM(6823,6832) = 46614736

LCM Calculator and
and

Least Common Multiple of 6823 and 6832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6823 and 6832, than apply into the LCM equation.

GCF(6823,6832) = 1
LCM(6823,6832) = ( 6823 × 6832) / 1
LCM(6823,6832) = 46614736 / 1
LCM(6823,6832) = 46614736

Least Common Multiple (LCM) of 6823 and 6832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6823 and 6832. First we will calculate the prime factors of 6823 and 6832.

Prime Factorization of 6823

Prime factors of 6823 are 6823. Prime factorization of 6823 in exponential form is:

6823 = 68231

Prime Factorization of 6832

Prime factors of 6832 are 2, 7, 61. Prime factorization of 6832 in exponential form is:

6832 = 24 × 71 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 6823 and 6832.

LCM(6823,6832) = 68231 × 24 × 71 × 611
LCM(6823,6832) = 46614736