Least Common Multiple of 6997 and 7001

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 7001 the smallest integer that is 48985997 that is divisible by both numbers.

Least Common Multiple (LCM) of 6997 and 7001 is 48985997.

LCM(6997,7001) = 48985997

LCM of 6997 and 7001

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

LCM of:
and

Least Common Multiple of 6997 and 7001

LCM of 6997 and 7001 is 48985997

Least common multiple can be found by multiplying the highest exponent prime factors of 6997 and 7001. First we will calculate the prime factors of 6997 and 7001.

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 7001


7001 7001
1

Prime factors of 7001 are 7001. Prime factorization of 7001 in exponential form is:

7001 = 70011

Now multiplying the highest exponent prime factors to calculate the LCM of 6997 and 7001.

LCM(6997,7001) = 69971×70011
LCM(6997,7001) = 48985997

Factors of 6997

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

1, 6997

Factors of 7001

List of positive integer factors of 7001 that divides 7001 without a remainder.

1, 7001

Least Common Multiple of 6997 and 7001 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 7001, than apply into the LCM equation.

GCF(6997,7001) = 1
LCM(6997,7001) = ( 6997 × 7001) / 1
LCM(6997,7001) = 48985997 / 1
LCM(6997,7001) = 48985997

Properties of LCM 6997 and 7001

(i) The LCM of 7001 and 6997 is associative

LCM of 6997 and 7001 = LCM of 7001 and 6997

Related Least Common Multiples of 6997

Related Least Common Multiples of 7001

Frequently Asked Questions on LCM of 6997 and 7001

1. What is the LCM of 6997 and 7001?

Answer: LCM of 6997 and 7001 is 48985997.

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 7001?

Answer: Factors of 7001 are 1, 7001. There are 2 integers that are factors of 7001. The greatest factor of 7001 is 7001.

4. How to Find the LCM of 6997 and 7001?

Answer:

Least Common Multiple of 6997 and 7001 = 48985997

Step 1: Find the prime factorization of 6997

6997 = 6997

Step 2: Find the prime factorization of 7001

7001 = 7001

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

LCM = 48985997 = 6997 x 7001

Step 4: Therefore, the least common multiple of 6997 and 7001 is 48985997.