GCF and LCM Calculator Logo

What is the Least Common Multiple of 3974 and 3991?

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 3974 and 3991 is 15860234.

LCM(3974,3991) = 15860234

LCM Calculator and
and

Least Common Multiple of 3974 and 3991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3974 and 3991, than apply into the LCM equation.

GCF(3974,3991) = 1
LCM(3974,3991) = ( 3974 × 3991) / 1
LCM(3974,3991) = 15860234 / 1
LCM(3974,3991) = 15860234

Least Common Multiple (LCM) of 3974 and 3991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3974 and 3991. First we will calculate the prime factors of 3974 and 3991.

Prime Factorization of 3974

Prime factors of 3974 are 2, 1987. Prime factorization of 3974 in exponential form is:

3974 = 21 × 19871

Prime Factorization of 3991

Prime factors of 3991 are 13, 307. Prime factorization of 3991 in exponential form is:

3991 = 131 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 3974 and 3991.

LCM(3974,3991) = 21 × 19871 × 131 × 3071
LCM(3974,3991) = 15860234