Least Common Multiple of 6992 and 6996

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 6996 the smallest integer that is 12229008 that is divisible by both numbers.

Least Common Multiple (LCM) of 6992 and 6996 is 12229008.

LCM(6992,6996) = 12229008

LCM of 6992 and 6996

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

LCM of:
and

Least Common Multiple of 6992 and 6996

LCM of 6992 and 6996 is 12229008

Least common multiple can be found by multiplying the highest exponent prime factors of 6992 and 6996. First we will calculate the prime factors of 6992 and 6996.

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 6996


2 6996
2 3498
3 1749
11 583
53 53
1

Prime factors of 6996 are 2, 3, 11,53. Prime factorization of 6996 in exponential form is:

6996 = 22×31×111×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6992 and 6996.

LCM(6992,6996) = 24×31×111×191×231×531
LCM(6992,6996) = 12229008

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 6996

List of positive integer factors of 6996 that divides 6996 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996

Least Common Multiple of 6992 and 6996 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 6996, than apply into the LCM equation.

GCF(6992,6996) = 4
LCM(6992,6996) = ( 6992 × 6996) / 4
LCM(6992,6996) = 48916032 / 4
LCM(6992,6996) = 12229008

Properties of LCM 6992 and 6996

(i) The LCM of 6996 and 6992 is associative

LCM of 6992 and 6996 = LCM of 6996 and 6992

Related Least Common Multiples of 6992

Related Least Common Multiples of 6996

Frequently Asked Questions on LCM of 6992 and 6996

1. What is the LCM of 6992 and 6996?

Answer: LCM of 6992 and 6996 is 12229008.

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 6996?

Answer: Factors of 6996 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 132, 159, 212, 318, 583, 636, 1166, 1749, 2332, 3498, 6996. There are 24 integers that are factors of 6996. The greatest factor of 6996 is 6996.

4. How to Find the LCM of 6992 and 6996?

Answer:

Least Common Multiple of 6992 and 6996 = 12229008

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 6996

6996 = 2 x 2 x 3 x 11 x 53

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

LCM = 12229008 = 2 x 2 x 2 x 2 x 3 x 11 x 19 x 23 x 53

Step 4: Therefore, the least common multiple of 6992 and 6996 is 12229008.