Least Common Multiple of 3982 and 3988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3982 and 3988 the smallest integer that is 7940108 that is divisible by both numbers.

Least Common Multiple (LCM) of 3982 and 3988 is 7940108.

LCM(3982,3988) = 7940108

LCM of 3982 and 3988

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3982 and 3988

LCM of 3982 and 3988 is 7940108

Least common multiple can be found by multiplying the highest exponent prime factors of 3982 and 3988. First we will calculate the prime factors of 3982 and 3988.

Prime Factorization of 3982


2 3982
11 1991
181 181
1

Prime factors of 3982 are 2, 11,181. Prime factorization of 3982 in exponential form is:

3982 = 21×111×1811

Prime Factorization of 3988


2 3988
2 1994
997 997
1

Prime factors of 3988 are 2,997. Prime factorization of 3988 in exponential form is:

3988 = 22×9971

Now multiplying the highest exponent prime factors to calculate the LCM of 3982 and 3988.

LCM(3982,3988) = 22×111×1811×9971
LCM(3982,3988) = 7940108

Factors of 3982

List of positive integer factors of 3982 that divides 3982 without a remainder.

1, 2, 11, 22, 181, 362, 1991, 3982

Factors of 3988

List of positive integer factors of 3988 that divides 3988 without a remainder.

1, 2, 4, 997, 1994, 3988

Least Common Multiple of 3982 and 3988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3982 and 3988, than apply into the LCM equation.

GCF(3982,3988) = 2
LCM(3982,3988) = ( 3982 × 3988) / 2
LCM(3982,3988) = 15880216 / 2
LCM(3982,3988) = 7940108

Properties of LCM 3982 and 3988

(i) The LCM of 3988 and 3982 is associative

LCM of 3982 and 3988 = LCM of 3988 and 3982

Related Least Common Multiples of 3982

Related Least Common Multiples of 3988

Frequently Asked Questions on LCM of 3982 and 3988

1. What is the LCM of 3982 and 3988?

Answer: LCM of 3982 and 3988 is 7940108.

2. What are the Factors of 3982?

Answer: Factors of 3982 are 1, 2, 11, 22, 181, 362, 1991, 3982. There are 8 integers that are factors of 3982. The greatest factor of 3982 is 3982.

3. What are the Factors of 3988?

Answer: Factors of 3988 are 1, 2, 4, 997, 1994, 3988. There are 6 integers that are factors of 3988. The greatest factor of 3988 is 3988.

4. How to Find the LCM of 3982 and 3988?

Answer:

Least Common Multiple of 3982 and 3988 = 7940108

Step 1: Find the prime factorization of 3982

3982 = 2 x 11 x 181

Step 2: Find the prime factorization of 3988

3988 = 2 x 2 x 997

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 7940108 = 2 x 2 x 11 x 181 x 997

Step 4: Therefore, the least common multiple of 3982 and 3988 is 7940108.