Least Common Multiple of 5997 and 6004

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 6004 the smallest integer that is 36005988 that is divisible by both numbers.

Least Common Multiple (LCM) of 5997 and 6004 is 36005988.

LCM(5997,6004) = 36005988

LCM of 5997 and 6004

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

LCM of:
and

Least Common Multiple of 5997 and 6004

LCM of 5997 and 6004 is 36005988

Least common multiple can be found by multiplying the highest exponent prime factors of 5997 and 6004. First we will calculate the prime factors of 5997 and 6004.

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 6004


2 6004
2 3002
19 1501
79 79
1

Prime factors of 6004 are 2, 19,79. Prime factorization of 6004 in exponential form is:

6004 = 22×191×791

Now multiplying the highest exponent prime factors to calculate the LCM of 5997 and 6004.

LCM(5997,6004) = 22×31×191×791×19991
LCM(5997,6004) = 36005988

Factors of 5997

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

1, 3, 1999, 5997

Factors of 6004

List of positive integer factors of 6004 that divides 6004 without a remainder.

1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002, 6004

Least Common Multiple of 5997 and 6004 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 6004, than apply into the LCM equation.

GCF(5997,6004) = 1
LCM(5997,6004) = ( 5997 × 6004) / 1
LCM(5997,6004) = 36005988 / 1
LCM(5997,6004) = 36005988

Properties of LCM 5997 and 6004

(i) The LCM of 6004 and 5997 is associative

LCM of 5997 and 6004 = LCM of 6004 and 5997

Related Least Common Multiples of 5997

Related Least Common Multiples of 6004

Frequently Asked Questions on LCM of 5997 and 6004

1. What is the LCM of 5997 and 6004?

Answer: LCM of 5997 and 6004 is 36005988.

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 6004?

Answer: Factors of 6004 are 1, 2, 4, 19, 38, 76, 79, 158, 316, 1501, 3002, 6004. There are 12 integers that are factors of 6004. The greatest factor of 6004 is 6004.

4. How to Find the LCM of 5997 and 6004?

Answer:

Least Common Multiple of 5997 and 6004 = 36005988

Step 1: Find the prime factorization of 5997

5997 = 3 x 1999

Step 2: Find the prime factorization of 6004

6004 = 2 x 2 x 19 x 79

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

LCM = 36005988 = 2 x 2 x 3 x 19 x 79 x 1999

Step 4: Therefore, the least common multiple of 5997 and 6004 is 36005988.