Least Common Multiple of 6987 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 6987 and 6993 the smallest integer that is 16286697 that is divisible by both numbers.

Least Common Multiple (LCM) of 6987 and 6993 is 16286697.

LCM(6987,6993) = 16286697

LCM of 6987 and 6993

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

LCM of:
and

Least Common Multiple of 6987 and 6993

LCM of 6987 and 6993 is 16286697

Least common multiple can be found by multiplying the highest exponent prime factors of 6987 and 6993. First we will calculate the prime factors of 6987 and 6993.

Prime Factorization of 6987


3 6987
17 2329
137 137
1

Prime factors of 6987 are 3, 17,137. Prime factorization of 6987 in exponential form is:

6987 = 31×171×1371

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 6987 and 6993.

LCM(6987,6993) = 33×71×171×371×1371
LCM(6987,6993) = 16286697

Factors of 6987

List of positive integer factors of 6987 that divides 6987 without a remainder.

1, 3, 17, 51, 137, 411, 2329, 6987

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 6987 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 6987 and 6993, than apply into the LCM equation.

GCF(6987,6993) = 3
LCM(6987,6993) = ( 6987 × 6993) / 3
LCM(6987,6993) = 48860091 / 3
LCM(6987,6993) = 16286697

Properties of LCM 6987 and 6993

(i) The LCM of 6993 and 6987 is associative

LCM of 6987 and 6993 = LCM of 6993 and 6987

Related Least Common Multiples of 6987

Related Least Common Multiples of 6993

Frequently Asked Questions on LCM of 6987 and 6993

1. What is the LCM of 6987 and 6993?

Answer: LCM of 6987 and 6993 is 16286697.

2. What are the Factors of 6987?

Answer: Factors of 6987 are 1, 3, 17, 51, 137, 411, 2329, 6987. There are 8 integers that are factors of 6987. The greatest factor of 6987 is 6987.

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 6987 and 6993?

Answer:

Least Common Multiple of 6987 and 6993 = 16286697

Step 1: Find the prime factorization of 6987

6987 = 3 x 17 x 137

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 = 16286697 = 3 x 3 x 3 x 7 x 17 x 37 x 137

Step 4: Therefore, the least common multiple of 6987 and 6993 is 16286697.