Least Common Multiple of 6998 and 7004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6998 and 7004 the smallest integer that is 24506996 that is divisible by both numbers.

Least Common Multiple (LCM) of 6998 and 7004 is 24506996.

LCM(6998,7004) = 24506996

LCM of 6998 and 7004

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

LCM of:
and

Least Common Multiple of 6998 and 7004

LCM of 6998 and 7004 is 24506996

Least common multiple can be found by multiplying the highest exponent prime factors of 6998 and 7004. First we will calculate the prime factors of 6998 and 7004.

Prime Factorization of 6998


2 6998
3499 3499
1

Prime factors of 6998 are 2,3499. Prime factorization of 6998 in exponential form is:

6998 = 21×34991

Prime Factorization of 7004


2 7004
2 3502
17 1751
103 103
1

Prime factors of 7004 are 2, 17,103. Prime factorization of 7004 in exponential form is:

7004 = 22×171×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6998 and 7004.

LCM(6998,7004) = 22×171×1031×34991
LCM(6998,7004) = 24506996

Factors of 6998

List of positive integer factors of 6998 that divides 6998 without a remainder.

1, 2, 3499, 6998

Factors of 7004

List of positive integer factors of 7004 that divides 7004 without a remainder.

1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004

Least Common Multiple of 6998 and 7004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6998 and 7004, than apply into the LCM equation.

GCF(6998,7004) = 2
LCM(6998,7004) = ( 6998 × 7004) / 2
LCM(6998,7004) = 49013992 / 2
LCM(6998,7004) = 24506996

Properties of LCM 6998 and 7004

(i) The LCM of 7004 and 6998 is associative

LCM of 6998 and 7004 = LCM of 7004 and 6998

Related Least Common Multiples of 6998

Related Least Common Multiples of 7004

Frequently Asked Questions on LCM of 6998 and 7004

1. What is the LCM of 6998 and 7004?

Answer: LCM of 6998 and 7004 is 24506996.

2. What are the Factors of 6998?

Answer: Factors of 6998 are 1, 2, 3499, 6998. There are 4 integers that are factors of 6998. The greatest factor of 6998 is 6998.

3. What are the Factors of 7004?

Answer: Factors of 7004 are 1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004. There are 12 integers that are factors of 7004. The greatest factor of 7004 is 7004.

4. How to Find the LCM of 6998 and 7004?

Answer:

Least Common Multiple of 6998 and 7004 = 24506996

Step 1: Find the prime factorization of 6998

6998 = 2 x 3499

Step 2: Find the prime factorization of 7004

7004 = 2 x 2 x 17 x 103

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

LCM = 24506996 = 2 x 2 x 17 x 103 x 3499

Step 4: Therefore, the least common multiple of 6998 and 7004 is 24506996.