Least Common Multiple of 5998 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 5998 and 6004 the smallest integer that is 18005996 that is divisible by both numbers.

Least Common Multiple (LCM) of 5998 and 6004 is 18005996.

LCM(5998,6004) = 18005996

LCM of 5998 and 6004

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

LCM of:
and

Least Common Multiple of 5998 and 6004

LCM of 5998 and 6004 is 18005996

Least common multiple can be found by multiplying the highest exponent prime factors of 5998 and 6004. First we will calculate the prime factors of 5998 and 6004.

Prime Factorization of 5998


2 5998
2999 2999
1

Prime factors of 5998 are 2,2999. Prime factorization of 5998 in exponential form is:

5998 = 21×29991

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 5998 and 6004.

LCM(5998,6004) = 22×191×791×29991
LCM(5998,6004) = 18005996

Factors of 5998

List of positive integer factors of 5998 that divides 5998 without a remainder.

1, 2, 2999, 5998

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 5998 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 5998 and 6004, than apply into the LCM equation.

GCF(5998,6004) = 2
LCM(5998,6004) = ( 5998 × 6004) / 2
LCM(5998,6004) = 36011992 / 2
LCM(5998,6004) = 18005996

Properties of LCM 5998 and 6004

(i) The LCM of 6004 and 5998 is associative

LCM of 5998 and 6004 = LCM of 6004 and 5998

Related Least Common Multiples of 5998

Related Least Common Multiples of 6004

Frequently Asked Questions on LCM of 5998 and 6004

1. What is the LCM of 5998 and 6004?

Answer: LCM of 5998 and 6004 is 18005996.

2. What are the Factors of 5998?

Answer: Factors of 5998 are 1, 2, 2999, 5998. There are 4 integers that are factors of 5998. The greatest factor of 5998 is 5998.

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 5998 and 6004?

Answer:

Least Common Multiple of 5998 and 6004 = 18005996

Step 1: Find the prime factorization of 5998

5998 = 2 x 2999

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 = 18005996 = 2 x 2 x 19 x 79 x 2999

Step 4: Therefore, the least common multiple of 5998 and 6004 is 18005996.