Least Common Multiple of 6984 and 6992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6984 and 6992 the smallest integer that is 6104016 that is divisible by both numbers.

Least Common Multiple (LCM) of 6984 and 6992 is 6104016.

LCM(6984,6992) = 6104016

LCM of 6984 and 6992

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

LCM of:
and

Least Common Multiple of 6984 and 6992

LCM of 6984 and 6992 is 6104016

Least common multiple can be found by multiplying the highest exponent prime factors of 6984 and 6992. First we will calculate the prime factors of 6984 and 6992.

Prime Factorization of 6984


2 6984
2 3492
2 1746
3 873
3 291
97 97
1

Prime factors of 6984 are 2, 3,97. Prime factorization of 6984 in exponential form is:

6984 = 23×32×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6984 and 6992.

LCM(6984,6992) = 24×32×191×231×971
LCM(6984,6992) = 6104016

Factors of 6984

List of positive integer factors of 6984 that divides 6984 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984

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

Least Common Multiple of 6984 and 6992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6984 and 6992, than apply into the LCM equation.

GCF(6984,6992) = 8
LCM(6984,6992) = ( 6984 × 6992) / 8
LCM(6984,6992) = 48832128 / 8
LCM(6984,6992) = 6104016

Properties of LCM 6984 and 6992

(i) The LCM of 6992 and 6984 is associative

LCM of 6984 and 6992 = LCM of 6992 and 6984

Related Least Common Multiples of 6984

Related Least Common Multiples of 6992

Frequently Asked Questions on LCM of 6984 and 6992

1. What is the LCM of 6984 and 6992?

Answer: LCM of 6984 and 6992 is 6104016.

2. What are the Factors of 6984?

Answer: Factors of 6984 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984. There are 24 integers that are factors of 6984. The greatest factor of 6984 is 6984.

3. 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.

4. How to Find the LCM of 6984 and 6992?

Answer:

Least Common Multiple of 6984 and 6992 = 6104016

Step 1: Find the prime factorization of 6984

6984 = 2 x 2 x 2 x 3 x 3 x 97

Step 2: Find the prime factorization of 6992

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

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

LCM = 6104016 = 2 x 2 x 2 x 2 x 3 x 3 x 19 x 23 x 97

Step 4: Therefore, the least common multiple of 6984 and 6992 is 6104016.