GCF and LCM Calculator Logo

What is the Least Common Multiple of 43861 and 43879?

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 43861 and 43879 is 1924576819.

LCM(43861,43879) = 1924576819

LCM Calculator and
and

Least Common Multiple of 43861 and 43879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43861 and 43879, than apply into the LCM equation.

GCF(43861,43879) = 1
LCM(43861,43879) = ( 43861 × 43879) / 1
LCM(43861,43879) = 1924576819 / 1
LCM(43861,43879) = 1924576819

Least Common Multiple (LCM) of 43861 and 43879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43861 and 43879. First we will calculate the prime factors of 43861 and 43879.

Prime Factorization of 43861

Prime factors of 43861 are 23, 1907. Prime factorization of 43861 in exponential form is:

43861 = 231 × 19071

Prime Factorization of 43879

Prime factors of 43879 are 11, 3989. Prime factorization of 43879 in exponential form is:

43879 = 111 × 39891

Now multiplying the highest exponent prime factors to calculate the LCM of 43861 and 43879.

LCM(43861,43879) = 231 × 19071 × 111 × 39891
LCM(43861,43879) = 1924576819