Least Common Multiple of 5987 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 5987 and 5991 the smallest integer that is 35868117 that is divisible by both numbers.

Least Common Multiple (LCM) of 5987 and 5991 is 35868117.

LCM(5987,5991) = 35868117

LCM of 5987 and 5991

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

LCM of:
and

Least Common Multiple of 5987 and 5991

LCM of 5987 and 5991 is 35868117

Least common multiple can be found by multiplying the highest exponent prime factors of 5987 and 5991. First we will calculate the prime factors of 5987 and 5991.

Prime Factorization of 5987


5987 5987
1

Prime factors of 5987 are 5987. Prime factorization of 5987 in exponential form is:

5987 = 59871

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 5987 and 5991.

LCM(5987,5991) = 31×19971×59871
LCM(5987,5991) = 35868117

Factors of 5987

List of positive integer factors of 5987 that divides 5987 without a remainder.

1, 5987

Factors of 5991

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

1, 3, 1997, 5991

Least Common Multiple of 5987 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 5987 and 5991, than apply into the LCM equation.

GCF(5987,5991) = 1
LCM(5987,5991) = ( 5987 × 5991) / 1
LCM(5987,5991) = 35868117 / 1
LCM(5987,5991) = 35868117

Properties of LCM 5987 and 5991

(i) The LCM of 5991 and 5987 is associative

LCM of 5987 and 5991 = LCM of 5991 and 5987

Related Least Common Multiples of 5987

Related Least Common Multiples of 5991

Frequently Asked Questions on LCM of 5987 and 5991

1. What is the LCM of 5987 and 5991?

Answer: LCM of 5987 and 5991 is 35868117.

2. What are the Factors of 5987?

Answer: Factors of 5987 are 1, 5987. There are 2 integers that are factors of 5987. The greatest factor of 5987 is 5987.

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 5987 and 5991?

Answer:

Least Common Multiple of 5987 and 5991 = 35868117

Step 1: Find the prime factorization of 5987

5987 = 5987

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 = 35868117 = 3 x 1997 x 5987

Step 4: Therefore, the least common multiple of 5987 and 5991 is 35868117.