Least Common Multiple of 5998 and 6002

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 6002 the smallest integer that is 17999998 that is divisible by both numbers.

Least Common Multiple (LCM) of 5998 and 6002 is 17999998.

LCM(5998,6002) = 17999998

LCM of 5998 and 6002

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

LCM of:
and

Least Common Multiple of 5998 and 6002

LCM of 5998 and 6002 is 17999998

Least common multiple can be found by multiplying the highest exponent prime factors of 5998 and 6002. First we will calculate the prime factors of 5998 and 6002.

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 6002


2 6002
3001 3001
1

Prime factors of 6002 are 2,3001. Prime factorization of 6002 in exponential form is:

6002 = 21×30011

Now multiplying the highest exponent prime factors to calculate the LCM of 5998 and 6002.

LCM(5998,6002) = 21×29991×30011
LCM(5998,6002) = 17999998

Factors of 5998

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

1, 2, 2999, 5998

Factors of 6002

List of positive integer factors of 6002 that divides 6002 without a remainder.

1, 2, 3001, 6002

Least Common Multiple of 5998 and 6002 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 6002, than apply into the LCM equation.

GCF(5998,6002) = 2
LCM(5998,6002) = ( 5998 × 6002) / 2
LCM(5998,6002) = 35999996 / 2
LCM(5998,6002) = 17999998

Properties of LCM 5998 and 6002

(i) The LCM of 6002 and 5998 is associative

LCM of 5998 and 6002 = LCM of 6002 and 5998

Related Least Common Multiples of 5998

Related Least Common Multiples of 6002

Frequently Asked Questions on LCM of 5998 and 6002

1. What is the LCM of 5998 and 6002?

Answer: LCM of 5998 and 6002 is 17999998.

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 6002?

Answer: Factors of 6002 are 1, 2, 3001, 6002. There are 4 integers that are factors of 6002. The greatest factor of 6002 is 6002.

4. How to Find the LCM of 5998 and 6002?

Answer:

Least Common Multiple of 5998 and 6002 = 17999998

Step 1: Find the prime factorization of 5998

5998 = 2 x 2999

Step 2: Find the prime factorization of 6002

6002 = 2 x 3001

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

LCM = 17999998 = 2 x 2999 x 3001

Step 4: Therefore, the least common multiple of 5998 and 6002 is 17999998.