Least Common Multiple of 5985 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 5985 and 5988 the smallest integer that is 11946060 that is divisible by both numbers.

Least Common Multiple (LCM) of 5985 and 5988 is 11946060.

LCM(5985,5988) = 11946060

LCM of 5985 and 5988

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

LCM of:
and

Least Common Multiple of 5985 and 5988

LCM of 5985 and 5988 is 11946060

Least common multiple can be found by multiplying the highest exponent prime factors of 5985 and 5988. First we will calculate the prime factors of 5985 and 5988.

Prime Factorization of 5985


3 5985
3 1995
5 665
7 133
19 19
1

Prime factors of 5985 are 3, 5, 7,19. Prime factorization of 5985 in exponential form is:

5985 = 32×51×71×191

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 5985 and 5988.

LCM(5985,5988) = 22×32×51×71×191×4991
LCM(5985,5988) = 11946060

Factors of 5985

List of positive integer factors of 5985 that divides 5985 without a remainder.

1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171, 285, 315, 399, 665, 855, 1197, 1995, 5985

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 5985 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 5985 and 5988, than apply into the LCM equation.

GCF(5985,5988) = 3
LCM(5985,5988) = ( 5985 × 5988) / 3
LCM(5985,5988) = 35838180 / 3
LCM(5985,5988) = 11946060

Properties of LCM 5985 and 5988

(i) The LCM of 5988 and 5985 is associative

LCM of 5985 and 5988 = LCM of 5988 and 5985

Related Least Common Multiples of 5985

Related Least Common Multiples of 5988

Frequently Asked Questions on LCM of 5985 and 5988

1. What is the LCM of 5985 and 5988?

Answer: LCM of 5985 and 5988 is 11946060.

2. What are the Factors of 5985?

Answer: Factors of 5985 are 1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171, 285, 315, 399, 665, 855, 1197, 1995, 5985. There are 24 integers that are factors of 5985. The greatest factor of 5985 is 5985.

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 5985 and 5988?

Answer:

Least Common Multiple of 5985 and 5988 = 11946060

Step 1: Find the prime factorization of 5985

5985 = 3 x 3 x 5 x 7 x 19

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 = 11946060 = 2 x 2 x 3 x 3 x 5 x 7 x 19 x 499

Step 4: Therefore, the least common multiple of 5985 and 5988 is 11946060.