Least Common Multiple of 6993 and 6997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6993 and 6997 the smallest integer that is 48930021 that is divisible by both numbers.

Least Common Multiple (LCM) of 6993 and 6997 is 48930021.

LCM(6993,6997) = 48930021

LCM of 6993 and 6997

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

LCM of:
and

Least Common Multiple of 6993 and 6997

LCM of 6993 and 6997 is 48930021

Least common multiple can be found by multiplying the highest exponent prime factors of 6993 and 6997. First we will calculate the prime factors of 6993 and 6997.

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

Prime Factorization of 6997


6997 6997
1

Prime factors of 6997 are 6997. Prime factorization of 6997 in exponential form is:

6997 = 69971

Now multiplying the highest exponent prime factors to calculate the LCM of 6993 and 6997.

LCM(6993,6997) = 33×71×371×69971
LCM(6993,6997) = 48930021

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

Factors of 6997

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

1, 6997

Least Common Multiple of 6993 and 6997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6993 and 6997, than apply into the LCM equation.

GCF(6993,6997) = 1
LCM(6993,6997) = ( 6993 × 6997) / 1
LCM(6993,6997) = 48930021 / 1
LCM(6993,6997) = 48930021

Properties of LCM 6993 and 6997

(i) The LCM of 6997 and 6993 is associative

LCM of 6993 and 6997 = LCM of 6997 and 6993

Related Least Common Multiples of 6993

Related Least Common Multiples of 6997

Frequently Asked Questions on LCM of 6993 and 6997

1. What is the LCM of 6993 and 6997?

Answer: LCM of 6993 and 6997 is 48930021.

2. 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.

3. 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.

4. How to Find the LCM of 6993 and 6997?

Answer:

Least Common Multiple of 6993 and 6997 = 48930021

Step 1: Find the prime factorization of 6993

6993 = 3 x 3 x 3 x 7 x 37

Step 2: Find the prime factorization of 6997

6997 = 6997

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

LCM = 48930021 = 3 x 3 x 3 x 7 x 37 x 6997

Step 4: Therefore, the least common multiple of 6993 and 6997 is 48930021.