Least Common Multiple of 5988 and 5994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5988 and 5994 the smallest integer that is 5982012 that is divisible by both numbers.

Least Common Multiple (LCM) of 5988 and 5994 is 5982012.

LCM(5988,5994) = 5982012

LCM of 5988 and 5994

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

LCM of:
and

Least Common Multiple of 5988 and 5994

LCM of 5988 and 5994 is 5982012

Least common multiple can be found by multiplying the highest exponent prime factors of 5988 and 5994. First we will calculate the prime factors of 5988 and 5994.

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

Prime Factorization of 5994


2 5994
3 2997
3 999
3 333
3 111
37 37
1

Prime factors of 5994 are 2, 3,37. Prime factorization of 5994 in exponential form is:

5994 = 21×34×371

Now multiplying the highest exponent prime factors to calculate the LCM of 5988 and 5994.

LCM(5988,5994) = 22×34×371×4991
LCM(5988,5994) = 5982012

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

Factors of 5994

List of positive integer factors of 5994 that divides 5994 without a remainder.

1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666, 999, 1998, 2997, 5994

Least Common Multiple of 5988 and 5994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5988 and 5994, than apply into the LCM equation.

GCF(5988,5994) = 6
LCM(5988,5994) = ( 5988 × 5994) / 6
LCM(5988,5994) = 35892072 / 6
LCM(5988,5994) = 5982012

Properties of LCM 5988 and 5994

(i) The LCM of 5994 and 5988 is associative

LCM of 5988 and 5994 = LCM of 5994 and 5988

Related Least Common Multiples of 5988

Related Least Common Multiples of 5994

Frequently Asked Questions on LCM of 5988 and 5994

1. What is the LCM of 5988 and 5994?

Answer: LCM of 5988 and 5994 is 5982012.

2. 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.

3. What are the Factors of 5994?

Answer: Factors of 5994 are 1, 2, 3, 6, 9, 18, 27, 37, 54, 74, 81, 111, 162, 222, 333, 666, 999, 1998, 2997, 5994. There are 20 integers that are factors of 5994. The greatest factor of 5994 is 5994.

4. How to Find the LCM of 5988 and 5994?

Answer:

Least Common Multiple of 5988 and 5994 = 5982012

Step 1: Find the prime factorization of 5988

5988 = 2 x 2 x 3 x 499

Step 2: Find the prime factorization of 5994

5994 = 2 x 3 x 3 x 3 x 3 x 37

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

LCM = 5982012 = 2 x 2 x 3 x 3 x 3 x 3 x 37 x 499

Step 4: Therefore, the least common multiple of 5988 and 5994 is 5982012.