Least Common Multiple of 6992 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 6992 and 6993 the smallest integer that is 48895056 that is divisible by both numbers.

Least Common Multiple (LCM) of 6992 and 6993 is 48895056.

LCM(6992,6993) = 48895056

LCM of 6992 and 6993

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

LCM of:
and

Least Common Multiple of 6992 and 6993

LCM of 6992 and 6993 is 48895056

Least common multiple can be found by multiplying the highest exponent prime factors of 6992 and 6993. First we will calculate the prime factors of 6992 and 6993.

Prime Factorization of 6992


2 6992
2 3496
2 1748
2 874
19 437
23 23
1

Prime factors of 6992 are 2, 19,23. Prime factorization of 6992 in exponential form is:

6992 = 24×191×231

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 6992 and 6993.

LCM(6992,6993) = 24×33×71×191×231×371
LCM(6992,6993) = 48895056

Factors of 6992

List of positive integer factors of 6992 that divides 6992 without a remainder.

1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496, 6992

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 6992 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 6992 and 6993, than apply into the LCM equation.

GCF(6992,6993) = 1
LCM(6992,6993) = ( 6992 × 6993) / 1
LCM(6992,6993) = 48895056 / 1
LCM(6992,6993) = 48895056

Properties of LCM 6992 and 6993

(i) The LCM of 6993 and 6992 is associative

LCM of 6992 and 6993 = LCM of 6993 and 6992

Related Least Common Multiples of 6992

Related Least Common Multiples of 6993

Frequently Asked Questions on LCM of 6992 and 6993

1. What is the LCM of 6992 and 6993?

Answer: LCM of 6992 and 6993 is 48895056.

2. What are the Factors of 6992?

Answer: Factors of 6992 are 1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496, 6992. There are 20 integers that are factors of 6992. The greatest factor of 6992 is 6992.

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 6992 and 6993?

Answer:

Least Common Multiple of 6992 and 6993 = 48895056

Step 1: Find the prime factorization of 6992

6992 = 2 x 2 x 2 x 2 x 19 x 23

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 = 48895056 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 19 x 23 x 37

Step 4: Therefore, the least common multiple of 6992 and 6993 is 48895056.