Least Common Multiple of 6986 and 6993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6986 and 6993 the smallest integer that is 6979014 that is divisible by both numbers.

Least Common Multiple (LCM) of 6986 and 6993 is 6979014.

LCM(6986,6993) = 6979014

LCM of 6986 and 6993

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

LCM of:
and

Least Common Multiple of 6986 and 6993

LCM of 6986 and 6993 is 6979014

Least common multiple can be found by multiplying the highest exponent prime factors of 6986 and 6993. First we will calculate the prime factors of 6986 and 6993.

Prime Factorization of 6986


2 6986
7 3493
499 499
1

Prime factors of 6986 are 2, 7,499. Prime factorization of 6986 in exponential form is:

6986 = 21×71×4991

Prime Factorization of 6993


3 6993
3 2331
3 777
7 259
37 37
1

Prime factors of 6993 are 3, 7,37. Prime factorization of 6993 in exponential form is:

6993 = 33×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 6986 and 6993.

LCM(6986,6993) = 21×33×71×371×4991
LCM(6986,6993) = 6979014

Factors of 6986

List of positive integer factors of 6986 that divides 6986 without a remainder.

1, 2, 7, 14, 499, 998, 3493, 6986

Factors of 6993

List of positive integer factors of 6993 that divides 6993 without a remainder.

1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993

Least Common Multiple of 6986 and 6993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6986 and 6993, than apply into the LCM equation.

GCF(6986,6993) = 7
LCM(6986,6993) = ( 6986 × 6993) / 7
LCM(6986,6993) = 48853098 / 7
LCM(6986,6993) = 6979014

Properties of LCM 6986 and 6993

(i) The LCM of 6993 and 6986 is associative

LCM of 6986 and 6993 = LCM of 6993 and 6986

Related Least Common Multiples of 6986

Related Least Common Multiples of 6993

Frequently Asked Questions on LCM of 6986 and 6993

1. What is the LCM of 6986 and 6993?

Answer: LCM of 6986 and 6993 is 6979014.

2. What are the Factors of 6986?

Answer: Factors of 6986 are 1, 2, 7, 14, 499, 998, 3493, 6986. There are 8 integers that are factors of 6986. The greatest factor of 6986 is 6986.

3. What are the Factors of 6993?

Answer: Factors of 6993 are 1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993. There are 16 integers that are factors of 6993. The greatest factor of 6993 is 6993.

4. How to Find the LCM of 6986 and 6993?

Answer:

Least Common Multiple of 6986 and 6993 = 6979014

Step 1: Find the prime factorization of 6986

6986 = 2 x 7 x 499

Step 2: Find the prime factorization of 6993

6993 = 3 x 3 x 3 x 7 x 37

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

LCM = 6979014 = 2 x 3 x 3 x 3 x 7 x 37 x 499

Step 4: Therefore, the least common multiple of 6986 and 6993 is 6979014.