Least Common Multiple of 5986 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 5986 and 5994 the smallest integer that is 17940042 that is divisible by both numbers.

Least Common Multiple (LCM) of 5986 and 5994 is 17940042.

LCM(5986,5994) = 17940042

LCM of 5986 and 5994

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

LCM of:
and

Least Common Multiple of 5986 and 5994

LCM of 5986 and 5994 is 17940042

Least common multiple can be found by multiplying the highest exponent prime factors of 5986 and 5994. First we will calculate the prime factors of 5986 and 5994.

Prime Factorization of 5986


2 5986
41 2993
73 73
1

Prime factors of 5986 are 2, 41,73. Prime factorization of 5986 in exponential form is:

5986 = 21×411×731

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 5986 and 5994.

LCM(5986,5994) = 21×34×371×411×731
LCM(5986,5994) = 17940042

Factors of 5986

List of positive integer factors of 5986 that divides 5986 without a remainder.

1, 2, 41, 73, 82, 146, 2993, 5986

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 5986 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 5986 and 5994, than apply into the LCM equation.

GCF(5986,5994) = 2
LCM(5986,5994) = ( 5986 × 5994) / 2
LCM(5986,5994) = 35880084 / 2
LCM(5986,5994) = 17940042

Properties of LCM 5986 and 5994

(i) The LCM of 5994 and 5986 is associative

LCM of 5986 and 5994 = LCM of 5994 and 5986

Related Least Common Multiples of 5986

Related Least Common Multiples of 5994

Frequently Asked Questions on LCM of 5986 and 5994

1. What is the LCM of 5986 and 5994?

Answer: LCM of 5986 and 5994 is 17940042.

2. What are the Factors of 5986?

Answer: Factors of 5986 are 1, 2, 41, 73, 82, 146, 2993, 5986. There are 8 integers that are factors of 5986. The greatest factor of 5986 is 5986.

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 5986 and 5994?

Answer:

Least Common Multiple of 5986 and 5994 = 17940042

Step 1: Find the prime factorization of 5986

5986 = 2 x 41 x 73

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 = 17940042 = 2 x 3 x 3 x 3 x 3 x 37 x 41 x 73

Step 4: Therefore, the least common multiple of 5986 and 5994 is 17940042.