GCF and LCM Calculator Logo

What is the Least Common Multiple of 3930 and 3947?

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 3930 and 3947 is 15511710.

LCM(3930,3947) = 15511710

LCM Calculator and
and

Least Common Multiple of 3930 and 3947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3930 and 3947, than apply into the LCM equation.

GCF(3930,3947) = 1
LCM(3930,3947) = ( 3930 × 3947) / 1
LCM(3930,3947) = 15511710 / 1
LCM(3930,3947) = 15511710

Least Common Multiple (LCM) of 3930 and 3947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3930 and 3947. First we will calculate the prime factors of 3930 and 3947.

Prime Factorization of 3930

Prime factors of 3930 are 2, 3, 5, 131. Prime factorization of 3930 in exponential form is:

3930 = 21 × 31 × 51 × 1311

Prime Factorization of 3947

Prime factors of 3947 are 3947. Prime factorization of 3947 in exponential form is:

3947 = 39471

Now multiplying the highest exponent prime factors to calculate the LCM of 3930 and 3947.

LCM(3930,3947) = 21 × 31 × 51 × 1311 × 39471
LCM(3930,3947) = 15511710