GCF and LCM Calculator Logo

What is the Least Common Multiple of 3908 and 3925?

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 3908 and 3925 is 15338900.

LCM(3908,3925) = 15338900

LCM Calculator and
and

Least Common Multiple of 3908 and 3925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3908 and 3925, than apply into the LCM equation.

GCF(3908,3925) = 1
LCM(3908,3925) = ( 3908 × 3925) / 1
LCM(3908,3925) = 15338900 / 1
LCM(3908,3925) = 15338900

Least Common Multiple (LCM) of 3908 and 3925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3908 and 3925. First we will calculate the prime factors of 3908 and 3925.

Prime Factorization of 3908

Prime factors of 3908 are 2, 977. Prime factorization of 3908 in exponential form is:

3908 = 22 × 9771

Prime Factorization of 3925

Prime factors of 3925 are 5, 157. Prime factorization of 3925 in exponential form is:

3925 = 52 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 3908 and 3925.

LCM(3908,3925) = 22 × 9771 × 52 × 1571
LCM(3908,3925) = 15338900