Least Common Multiple of 5986 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 5986 and 5988 the smallest integer that is 17922084 that is divisible by both numbers.

Least Common Multiple (LCM) of 5986 and 5988 is 17922084.

LCM(5986,5988) = 17922084

LCM of 5986 and 5988

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

LCM of:
and

Least Common Multiple of 5986 and 5988

LCM of 5986 and 5988 is 17922084

Least common multiple can be found by multiplying the highest exponent prime factors of 5986 and 5988. First we will calculate the prime factors of 5986 and 5988.

Prime Factorization of 5986


2 5986
41 2993
73 73
1

Prime factors of 5986 are 2, 41,73. Prime factorization of 5986 in exponential form is:

5986 = 21×411×731

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 5986 and 5988.

LCM(5986,5988) = 22×31×411×731×4991
LCM(5986,5988) = 17922084

Factors of 5986

List of positive integer factors of 5986 that divides 5986 without a remainder.

1, 2, 41, 73, 82, 146, 2993, 5986

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 5986 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 5986 and 5988, than apply into the LCM equation.

GCF(5986,5988) = 2
LCM(5986,5988) = ( 5986 × 5988) / 2
LCM(5986,5988) = 35844168 / 2
LCM(5986,5988) = 17922084

Properties of LCM 5986 and 5988

(i) The LCM of 5988 and 5986 is associative

LCM of 5986 and 5988 = LCM of 5988 and 5986

Related Least Common Multiples of 5986

Related Least Common Multiples of 5988

Frequently Asked Questions on LCM of 5986 and 5988

1. What is the LCM of 5986 and 5988?

Answer: LCM of 5986 and 5988 is 17922084.

2. What are the Factors of 5986?

Answer: Factors of 5986 are 1, 2, 41, 73, 82, 146, 2993, 5986. There are 8 integers that are factors of 5986. The greatest factor of 5986 is 5986.

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 5986 and 5988?

Answer:

Least Common Multiple of 5986 and 5988 = 17922084

Step 1: Find the prime factorization of 5986

5986 = 2 x 41 x 73

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 = 17922084 = 2 x 2 x 3 x 41 x 73 x 499

Step 4: Therefore, the least common multiple of 5986 and 5988 is 17922084.