Least Common Multiple of 6997 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 6997 and 7004 the smallest integer that is 49006988 that is divisible by both numbers.

Least Common Multiple (LCM) of 6997 and 7004 is 49006988.

LCM(6997,7004) = 49006988

LCM of 6997 and 7004

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

LCM of:
and

Least Common Multiple of 6997 and 7004

LCM of 6997 and 7004 is 49006988

Least common multiple can be found by multiplying the highest exponent prime factors of 6997 and 7004. First we will calculate the prime factors of 6997 and 7004.

Prime Factorization of 6997


6997 6997
1

Prime factors of 6997 are 6997. Prime factorization of 6997 in exponential form is:

6997 = 69971

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 6997 and 7004.

LCM(6997,7004) = 22×171×1031×69971
LCM(6997,7004) = 49006988

Factors of 6997

List of positive integer factors of 6997 that divides 6997 without a remainder.

1, 6997

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 6997 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 6997 and 7004, than apply into the LCM equation.

GCF(6997,7004) = 1
LCM(6997,7004) = ( 6997 × 7004) / 1
LCM(6997,7004) = 49006988 / 1
LCM(6997,7004) = 49006988

Properties of LCM 6997 and 7004

(i) The LCM of 7004 and 6997 is associative

LCM of 6997 and 7004 = LCM of 7004 and 6997

Related Least Common Multiples of 6997

Related Least Common Multiples of 7004

Frequently Asked Questions on LCM of 6997 and 7004

1. What is the LCM of 6997 and 7004?

Answer: LCM of 6997 and 7004 is 49006988.

2. What are the Factors of 6997?

Answer: Factors of 6997 are 1, 6997. There are 2 integers that are factors of 6997. The greatest factor of 6997 is 6997.

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 6997 and 7004?

Answer:

Least Common Multiple of 6997 and 7004 = 49006988

Step 1: Find the prime factorization of 6997

6997 = 6997

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 = 49006988 = 2 x 2 x 17 x 103 x 6997

Step 4: Therefore, the least common multiple of 6997 and 7004 is 49006988.