Least Common Multiple of 5985 and 5991

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 5991 the smallest integer that is 11952045 that is divisible by both numbers.

Least Common Multiple (LCM) of 5985 and 5991 is 11952045.

LCM(5985,5991) = 11952045

LCM of 5985 and 5991

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

LCM of:
and

Least Common Multiple of 5985 and 5991

LCM of 5985 and 5991 is 11952045

Least common multiple can be found by multiplying the highest exponent prime factors of 5985 and 5991. First we will calculate the prime factors of 5985 and 5991.

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 5991


3 5991
1997 1997
1

Prime factors of 5991 are 3,1997. Prime factorization of 5991 in exponential form is:

5991 = 31×19971

Now multiplying the highest exponent prime factors to calculate the LCM of 5985 and 5991.

LCM(5985,5991) = 32×51×71×191×19971
LCM(5985,5991) = 11952045

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 5991

List of positive integer factors of 5991 that divides 5991 without a remainder.

1, 3, 1997, 5991

Least Common Multiple of 5985 and 5991 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 5991, than apply into the LCM equation.

GCF(5985,5991) = 3
LCM(5985,5991) = ( 5985 × 5991) / 3
LCM(5985,5991) = 35856135 / 3
LCM(5985,5991) = 11952045

Properties of LCM 5985 and 5991

(i) The LCM of 5991 and 5985 is associative

LCM of 5985 and 5991 = LCM of 5991 and 5985

Related Least Common Multiples of 5985

Related Least Common Multiples of 5991

Frequently Asked Questions on LCM of 5985 and 5991

1. What is the LCM of 5985 and 5991?

Answer: LCM of 5985 and 5991 is 11952045.

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 5991?

Answer: Factors of 5991 are 1, 3, 1997, 5991. There are 4 integers that are factors of 5991. The greatest factor of 5991 is 5991.

4. How to Find the LCM of 5985 and 5991?

Answer:

Least Common Multiple of 5985 and 5991 = 11952045

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 5991

5991 = 3 x 1997

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

LCM = 11952045 = 3 x 3 x 5 x 7 x 19 x 1997

Step 4: Therefore, the least common multiple of 5985 and 5991 is 11952045.