Least Common Multiple of 6994 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 6994 and 6999 the smallest integer that is 48951006 that is divisible by both numbers.

Least Common Multiple (LCM) of 6994 and 6999 is 48951006.

LCM(6994,6999) = 48951006

LCM of 6994 and 6999

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

LCM of:
and

Least Common Multiple of 6994 and 6999

LCM of 6994 and 6999 is 48951006

Least common multiple can be found by multiplying the highest exponent prime factors of 6994 and 6999. First we will calculate the prime factors of 6994 and 6999.

Prime Factorization of 6994


2 6994
13 3497
269 269
1

Prime factors of 6994 are 2, 13,269. Prime factorization of 6994 in exponential form is:

6994 = 21×131×2691

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 6994 and 6999.

LCM(6994,6999) = 21×31×131×2691×23331
LCM(6994,6999) = 48951006

Factors of 6994

List of positive integer factors of 6994 that divides 6994 without a remainder.

1, 2, 13, 26, 269, 538, 3497, 6994

Factors of 6999

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

1, 3, 2333, 6999

Least Common Multiple of 6994 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 6994 and 6999, than apply into the LCM equation.

GCF(6994,6999) = 1
LCM(6994,6999) = ( 6994 × 6999) / 1
LCM(6994,6999) = 48951006 / 1
LCM(6994,6999) = 48951006

Properties of LCM 6994 and 6999

(i) The LCM of 6999 and 6994 is associative

LCM of 6994 and 6999 = LCM of 6999 and 6994

Related Least Common Multiples of 6994

Related Least Common Multiples of 6999

Frequently Asked Questions on LCM of 6994 and 6999

1. What is the LCM of 6994 and 6999?

Answer: LCM of 6994 and 6999 is 48951006.

2. What are the Factors of 6994?

Answer: Factors of 6994 are 1, 2, 13, 26, 269, 538, 3497, 6994. There are 8 integers that are factors of 6994. The greatest factor of 6994 is 6994.

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 6994 and 6999?

Answer:

Least Common Multiple of 6994 and 6999 = 48951006

Step 1: Find the prime factorization of 6994

6994 = 2 x 13 x 269

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 = 48951006 = 2 x 3 x 13 x 269 x 2333

Step 4: Therefore, the least common multiple of 6994 and 6999 is 48951006.