GCF and LCM Calculator Logo

What is the Least Common Multiple of 3938 and 3948?

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 3938 and 3948 is 7773612.

LCM(3938,3948) = 7773612

LCM Calculator and
and

Least Common Multiple of 3938 and 3948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3938 and 3948, than apply into the LCM equation.

GCF(3938,3948) = 2
LCM(3938,3948) = ( 3938 × 3948) / 2
LCM(3938,3948) = 15547224 / 2
LCM(3938,3948) = 7773612

Least Common Multiple (LCM) of 3938 and 3948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3938 and 3948. First we will calculate the prime factors of 3938 and 3948.

Prime Factorization of 3938

Prime factors of 3938 are 2, 11, 179. Prime factorization of 3938 in exponential form is:

3938 = 21 × 111 × 1791

Prime Factorization of 3948

Prime factors of 3948 are 2, 3, 7, 47. Prime factorization of 3948 in exponential form is:

3948 = 22 × 31 × 71 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 3938 and 3948.

LCM(3938,3948) = 22 × 111 × 1791 × 31 × 71 × 471
LCM(3938,3948) = 7773612