GCF and LCM Calculator Logo

What is the Least Common Multiple of 6923 and 6942?

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 6923 and 6942 is 48059466.

LCM(6923,6942) = 48059466

LCM Calculator and
and

Least Common Multiple of 6923 and 6942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6923 and 6942, than apply into the LCM equation.

GCF(6923,6942) = 1
LCM(6923,6942) = ( 6923 × 6942) / 1
LCM(6923,6942) = 48059466 / 1
LCM(6923,6942) = 48059466

Least Common Multiple (LCM) of 6923 and 6942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6923 and 6942. First we will calculate the prime factors of 6923 and 6942.

Prime Factorization of 6923

Prime factors of 6923 are 7, 23, 43. Prime factorization of 6923 in exponential form is:

6923 = 71 × 231 × 431

Prime Factorization of 6942

Prime factors of 6942 are 2, 3, 13, 89. Prime factorization of 6942 in exponential form is:

6942 = 21 × 31 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 6923 and 6942.

LCM(6923,6942) = 71 × 231 × 431 × 21 × 31 × 131 × 891
LCM(6923,6942) = 48059466