Least Common Multiple of 6995 and 6999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6995 and 6999 the smallest integer that is 48958005 that is divisible by both numbers.

Least Common Multiple (LCM) of 6995 and 6999 is 48958005.

LCM(6995,6999) = 48958005

LCM of 6995 and 6999

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

LCM of:
and

Least Common Multiple of 6995 and 6999

LCM of 6995 and 6999 is 48958005

Least common multiple can be found by multiplying the highest exponent prime factors of 6995 and 6999. First we will calculate the prime factors of 6995 and 6999.

Prime Factorization of 6995


5 6995
1399 1399
1

Prime factors of 6995 are 5,1399. Prime factorization of 6995 in exponential form is:

6995 = 51×13991

Prime Factorization of 6999


3 6999
2333 2333
1

Prime factors of 6999 are 3,2333. Prime factorization of 6999 in exponential form is:

6999 = 31×23331

Now multiplying the highest exponent prime factors to calculate the LCM of 6995 and 6999.

LCM(6995,6999) = 31×51×13991×23331
LCM(6995,6999) = 48958005

Factors of 6995

List of positive integer factors of 6995 that divides 6995 without a remainder.

1, 5, 1399, 6995

Factors of 6999

List of positive integer factors of 6999 that divides 6999 without a remainder.

1, 3, 2333, 6999

Least Common Multiple of 6995 and 6999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6995 and 6999, than apply into the LCM equation.

GCF(6995,6999) = 1
LCM(6995,6999) = ( 6995 × 6999) / 1
LCM(6995,6999) = 48958005 / 1
LCM(6995,6999) = 48958005

Properties of LCM 6995 and 6999

(i) The LCM of 6999 and 6995 is associative

LCM of 6995 and 6999 = LCM of 6999 and 6995

Related Least Common Multiples of 6995

Related Least Common Multiples of 6999

Frequently Asked Questions on LCM of 6995 and 6999

1. What is the LCM of 6995 and 6999?

Answer: LCM of 6995 and 6999 is 48958005.

2. What are the Factors of 6995?

Answer: Factors of 6995 are 1, 5, 1399, 6995. There are 4 integers that are factors of 6995. The greatest factor of 6995 is 6995.

3. What are the Factors of 6999?

Answer: Factors of 6999 are 1, 3, 2333, 6999. There are 4 integers that are factors of 6999. The greatest factor of 6999 is 6999.

4. How to Find the LCM of 6995 and 6999?

Answer:

Least Common Multiple of 6995 and 6999 = 48958005

Step 1: Find the prime factorization of 6995

6995 = 5 x 1399

Step 2: Find the prime factorization of 6999

6999 = 3 x 2333

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

LCM = 48958005 = 3 x 5 x 1399 x 2333

Step 4: Therefore, the least common multiple of 6995 and 6999 is 48958005.