Least Common Multiple of 5987 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 5987 and 5994 the smallest integer that is 35886078 that is divisible by both numbers.

Least Common Multiple (LCM) of 5987 and 5994 is 35886078.

LCM(5987,5994) = 35886078

LCM of 5987 and 5994

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

LCM of:
and

Least Common Multiple of 5987 and 5994

LCM of 5987 and 5994 is 35886078

Least common multiple can be found by multiplying the highest exponent prime factors of 5987 and 5994. First we will calculate the prime factors of 5987 and 5994.

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 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 5987 and 5994.

LCM(5987,5994) = 21×34×371×59871
LCM(5987,5994) = 35886078

Factors of 5987

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

1, 5987

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 5987 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 5987 and 5994, than apply into the LCM equation.

GCF(5987,5994) = 1
LCM(5987,5994) = ( 5987 × 5994) / 1
LCM(5987,5994) = 35886078 / 1
LCM(5987,5994) = 35886078

Properties of LCM 5987 and 5994

(i) The LCM of 5994 and 5987 is associative

LCM of 5987 and 5994 = LCM of 5994 and 5987

Related Least Common Multiples of 5987

Related Least Common Multiples of 5994

Frequently Asked Questions on LCM of 5987 and 5994

1. What is the LCM of 5987 and 5994?

Answer: LCM of 5987 and 5994 is 35886078.

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 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 5987 and 5994?

Answer:

Least Common Multiple of 5987 and 5994 = 35886078

Step 1: Find the prime factorization of 5987

5987 = 5987

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 = 35886078 = 2 x 3 x 3 x 3 x 3 x 37 x 5987

Step 4: Therefore, the least common multiple of 5987 and 5994 is 35886078.