Least Common Multiple of 5997 and 6003

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 6003 the smallest integer that is 11999997 that is divisible by both numbers.

Least Common Multiple (LCM) of 5997 and 6003 is 11999997.

LCM(5997,6003) = 11999997

LCM of 5997 and 6003

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

LCM of:
and

Least Common Multiple of 5997 and 6003

LCM of 5997 and 6003 is 11999997

Least common multiple can be found by multiplying the highest exponent prime factors of 5997 and 6003. First we will calculate the prime factors of 5997 and 6003.

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 6003


3 6003
3 2001
23 667
29 29
1

Prime factors of 6003 are 3, 23,29. Prime factorization of 6003 in exponential form is:

6003 = 32×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 5997 and 6003.

LCM(5997,6003) = 32×231×291×19991
LCM(5997,6003) = 11999997

Factors of 5997

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

1, 3, 1999, 5997

Factors of 6003

List of positive integer factors of 6003 that divides 6003 without a remainder.

1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001, 6003

Least Common Multiple of 5997 and 6003 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 6003, than apply into the LCM equation.

GCF(5997,6003) = 3
LCM(5997,6003) = ( 5997 × 6003) / 3
LCM(5997,6003) = 35999991 / 3
LCM(5997,6003) = 11999997

Properties of LCM 5997 and 6003

(i) The LCM of 6003 and 5997 is associative

LCM of 5997 and 6003 = LCM of 6003 and 5997

Related Least Common Multiples of 5997

Related Least Common Multiples of 6003

Frequently Asked Questions on LCM of 5997 and 6003

1. What is the LCM of 5997 and 6003?

Answer: LCM of 5997 and 6003 is 11999997.

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 6003?

Answer: Factors of 6003 are 1, 3, 9, 23, 29, 69, 87, 207, 261, 667, 2001, 6003. There are 12 integers that are factors of 6003. The greatest factor of 6003 is 6003.

4. How to Find the LCM of 5997 and 6003?

Answer:

Least Common Multiple of 5997 and 6003 = 11999997

Step 1: Find the prime factorization of 5997

5997 = 3 x 1999

Step 2: Find the prime factorization of 6003

6003 = 3 x 3 x 23 x 29

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

LCM = 11999997 = 3 x 3 x 23 x 29 x 1999

Step 4: Therefore, the least common multiple of 5997 and 6003 is 11999997.