Least Common Multiple of 5999 and 6005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5999 and 6005 the smallest integer that is 36023995 that is divisible by both numbers.

Least Common Multiple (LCM) of 5999 and 6005 is 36023995.

LCM(5999,6005) = 36023995

LCM of 5999 and 6005

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

LCM of:
and

Least Common Multiple of 5999 and 6005

LCM of 5999 and 6005 is 36023995

Least common multiple can be found by multiplying the highest exponent prime factors of 5999 and 6005. First we will calculate the prime factors of 5999 and 6005.

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

Prime Factorization of 6005


5 6005
1201 1201
1

Prime factors of 6005 are 5,1201. Prime factorization of 6005 in exponential form is:

6005 = 51×12011

Now multiplying the highest exponent prime factors to calculate the LCM of 5999 and 6005.

LCM(5999,6005) = 51×71×8571×12011
LCM(5999,6005) = 36023995

Factors of 5999

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

1, 7, 857, 5999

Factors of 6005

List of positive integer factors of 6005 that divides 6005 without a remainder.

1, 5, 1201, 6005

Least Common Multiple of 5999 and 6005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5999 and 6005, than apply into the LCM equation.

GCF(5999,6005) = 1
LCM(5999,6005) = ( 5999 × 6005) / 1
LCM(5999,6005) = 36023995 / 1
LCM(5999,6005) = 36023995

Properties of LCM 5999 and 6005

(i) The LCM of 6005 and 5999 is associative

LCM of 5999 and 6005 = LCM of 6005 and 5999

Related Least Common Multiples of 5999

Related Least Common Multiples of 6005

Frequently Asked Questions on LCM of 5999 and 6005

1. What is the LCM of 5999 and 6005?

Answer: LCM of 5999 and 6005 is 36023995.

2. 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.

3. What are the Factors of 6005?

Answer: Factors of 6005 are 1, 5, 1201, 6005. There are 4 integers that are factors of 6005. The greatest factor of 6005 is 6005.

4. How to Find the LCM of 5999 and 6005?

Answer:

Least Common Multiple of 5999 and 6005 = 36023995

Step 1: Find the prime factorization of 5999

5999 = 7 x 857

Step 2: Find the prime factorization of 6005

6005 = 5 x 1201

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

LCM = 36023995 = 5 x 7 x 857 x 1201

Step 4: Therefore, the least common multiple of 5999 and 6005 is 36023995.