Least Common Multiple of 5997 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 5997 and 6005 the smallest integer that is 36011985 that is divisible by both numbers.

Least Common Multiple (LCM) of 5997 and 6005 is 36011985.

LCM(5997,6005) = 36011985

LCM of 5997 and 6005

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

LCM of:
and

Least Common Multiple of 5997 and 6005

LCM of 5997 and 6005 is 36011985

Least common multiple can be found by multiplying the highest exponent prime factors of 5997 and 6005. First we will calculate the prime factors of 5997 and 6005.

Prime Factorization of 5997


3 5997
1999 1999
1

Prime factors of 5997 are 3,1999. Prime factorization of 5997 in exponential form is:

5997 = 31×19991

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 5997 and 6005.

LCM(5997,6005) = 31×51×12011×19991
LCM(5997,6005) = 36011985

Factors of 5997

List of positive integer factors of 5997 that divides 5997 without a remainder.

1, 3, 1999, 5997

Factors of 6005

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

1, 5, 1201, 6005

Least Common Multiple of 5997 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 5997 and 6005, than apply into the LCM equation.

GCF(5997,6005) = 1
LCM(5997,6005) = ( 5997 × 6005) / 1
LCM(5997,6005) = 36011985 / 1
LCM(5997,6005) = 36011985

Properties of LCM 5997 and 6005

(i) The LCM of 6005 and 5997 is associative

LCM of 5997 and 6005 = LCM of 6005 and 5997

Related Least Common Multiples of 5997

Related Least Common Multiples of 6005

Frequently Asked Questions on LCM of 5997 and 6005

1. What is the LCM of 5997 and 6005?

Answer: LCM of 5997 and 6005 is 36011985.

2. What are the Factors of 5997?

Answer: Factors of 5997 are 1, 3, 1999, 5997. There are 4 integers that are factors of 5997. The greatest factor of 5997 is 5997.

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 5997 and 6005?

Answer:

Least Common Multiple of 5997 and 6005 = 36011985

Step 1: Find the prime factorization of 5997

5997 = 3 x 1999

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 = 36011985 = 3 x 5 x 1201 x 1999

Step 4: Therefore, the least common multiple of 5997 and 6005 is 36011985.