GCF and LCM Calculator Logo

What is the Least Common Multiple of 43721 and 43738?

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 43721 and 43738 is 1912269098.

LCM(43721,43738) = 1912269098

LCM Calculator and
and

Least Common Multiple of 43721 and 43738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43721 and 43738, than apply into the LCM equation.

GCF(43721,43738) = 1
LCM(43721,43738) = ( 43721 × 43738) / 1
LCM(43721,43738) = 1912269098 / 1
LCM(43721,43738) = 1912269098

Least Common Multiple (LCM) of 43721 and 43738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43721 and 43738. First we will calculate the prime factors of 43721 and 43738.

Prime Factorization of 43721

Prime factors of 43721 are 43721. Prime factorization of 43721 in exponential form is:

43721 = 437211

Prime Factorization of 43738

Prime factors of 43738 are 2, 19, 1151. Prime factorization of 43738 in exponential form is:

43738 = 21 × 191 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 43721 and 43738.

LCM(43721,43738) = 437211 × 21 × 191 × 11511
LCM(43721,43738) = 1912269098