Least Common Multiple of 5982 and 5988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5982 and 5988 the smallest integer that is 5970036 that is divisible by both numbers.

Least Common Multiple (LCM) of 5982 and 5988 is 5970036.

LCM(5982,5988) = 5970036

LCM of 5982 and 5988

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

LCM of:
and

Least Common Multiple of 5982 and 5988

LCM of 5982 and 5988 is 5970036

Least common multiple can be found by multiplying the highest exponent prime factors of 5982 and 5988. First we will calculate the prime factors of 5982 and 5988.

Prime Factorization of 5982


2 5982
3 2991
997 997
1

Prime factors of 5982 are 2, 3,997. Prime factorization of 5982 in exponential form is:

5982 = 21×31×9971

Prime Factorization of 5988


2 5988
2 2994
3 1497
499 499
1

Prime factors of 5988 are 2, 3,499. Prime factorization of 5988 in exponential form is:

5988 = 22×31×4991

Now multiplying the highest exponent prime factors to calculate the LCM of 5982 and 5988.

LCM(5982,5988) = 22×31×4991×9971
LCM(5982,5988) = 5970036

Factors of 5982

List of positive integer factors of 5982 that divides 5982 without a remainder.

1, 2, 3, 6, 997, 1994, 2991, 5982

Factors of 5988

List of positive integer factors of 5988 that divides 5988 without a remainder.

1, 2, 3, 4, 6, 12, 499, 998, 1497, 1996, 2994, 5988

Least Common Multiple of 5982 and 5988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5982 and 5988, than apply into the LCM equation.

GCF(5982,5988) = 6
LCM(5982,5988) = ( 5982 × 5988) / 6
LCM(5982,5988) = 35820216 / 6
LCM(5982,5988) = 5970036

Properties of LCM 5982 and 5988

(i) The LCM of 5988 and 5982 is associative

LCM of 5982 and 5988 = LCM of 5988 and 5982

Related Least Common Multiples of 5982

Related Least Common Multiples of 5988

Frequently Asked Questions on LCM of 5982 and 5988

1. What is the LCM of 5982 and 5988?

Answer: LCM of 5982 and 5988 is 5970036.

2. What are the Factors of 5982?

Answer: Factors of 5982 are 1, 2, 3, 6, 997, 1994, 2991, 5982. There are 8 integers that are factors of 5982. The greatest factor of 5982 is 5982.

3. What are the Factors of 5988?

Answer: Factors of 5988 are 1, 2, 3, 4, 6, 12, 499, 998, 1497, 1996, 2994, 5988. There are 12 integers that are factors of 5988. The greatest factor of 5988 is 5988.

4. How to Find the LCM of 5982 and 5988?

Answer:

Least Common Multiple of 5982 and 5988 = 5970036

Step 1: Find the prime factorization of 5982

5982 = 2 x 3 x 997

Step 2: Find the prime factorization of 5988

5988 = 2 x 2 x 3 x 499

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

LCM = 5970036 = 2 x 2 x 3 x 499 x 997

Step 4: Therefore, the least common multiple of 5982 and 5988 is 5970036.