Least Common Multiple of 5994 and 5999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5994 and 5999 the smallest integer that is 35958006 that is divisible by both numbers.

Least Common Multiple (LCM) of 5994 and 5999 is 35958006.

LCM(5994,5999) = 35958006

LCM of 5994 and 5999

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

LCM of:
and

Least Common Multiple of 5994 and 5999

LCM of 5994 and 5999 is 35958006

Least common multiple can be found by multiplying the highest exponent prime factors of 5994 and 5999. First we will calculate the prime factors of 5994 and 5999.

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

Prime Factorization of 5999


7 5999
857 857
1

Prime factors of 5999 are 7,857. Prime factorization of 5999 in exponential form is:

5999 = 71×8571

Now multiplying the highest exponent prime factors to calculate the LCM of 5994 and 5999.

LCM(5994,5999) = 21×34×71×371×8571
LCM(5994,5999) = 35958006

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

Factors of 5999

List of positive integer factors of 5999 that divides 5999 without a remainder.

1, 7, 857, 5999

Least Common Multiple of 5994 and 5999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5994 and 5999, than apply into the LCM equation.

GCF(5994,5999) = 1
LCM(5994,5999) = ( 5994 × 5999) / 1
LCM(5994,5999) = 35958006 / 1
LCM(5994,5999) = 35958006

Properties of LCM 5994 and 5999

(i) The LCM of 5999 and 5994 is associative

LCM of 5994 and 5999 = LCM of 5999 and 5994

Related Least Common Multiples of 5994

Related Least Common Multiples of 5999

Frequently Asked Questions on LCM of 5994 and 5999

1. What is the LCM of 5994 and 5999?

Answer: LCM of 5994 and 5999 is 35958006.

2. 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.

3. What are the Factors of 5999?

Answer: Factors of 5999 are 1, 7, 857, 5999. There are 4 integers that are factors of 5999. The greatest factor of 5999 is 5999.

4. How to Find the LCM of 5994 and 5999?

Answer:

Least Common Multiple of 5994 and 5999 = 35958006

Step 1: Find the prime factorization of 5994

5994 = 2 x 3 x 3 x 3 x 3 x 37

Step 2: Find the prime factorization of 5999

5999 = 7 x 857

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

LCM = 35958006 = 2 x 3 x 3 x 3 x 3 x 7 x 37 x 857

Step 4: Therefore, the least common multiple of 5994 and 5999 is 35958006.