Least Common Multiple of 6987 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 6987 and 6992 the smallest integer that is 48853104 that is divisible by both numbers.

Least Common Multiple (LCM) of 6987 and 6992 is 48853104.

LCM(6987,6992) = 48853104

LCM of 6987 and 6992

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

LCM of:
and

Least Common Multiple of 6987 and 6992

LCM of 6987 and 6992 is 48853104

Least common multiple can be found by multiplying the highest exponent prime factors of 6987 and 6992. First we will calculate the prime factors of 6987 and 6992.

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 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 6987 and 6992.

LCM(6987,6992) = 24×31×171×191×231×1371
LCM(6987,6992) = 48853104

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 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 6987 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 6987 and 6992, than apply into the LCM equation.

GCF(6987,6992) = 1
LCM(6987,6992) = ( 6987 × 6992) / 1
LCM(6987,6992) = 48853104 / 1
LCM(6987,6992) = 48853104

Properties of LCM 6987 and 6992

(i) The LCM of 6992 and 6987 is associative

LCM of 6987 and 6992 = LCM of 6992 and 6987

Related Least Common Multiples of 6987

Related Least Common Multiples of 6992

Frequently Asked Questions on LCM of 6987 and 6992

1. What is the LCM of 6987 and 6992?

Answer: LCM of 6987 and 6992 is 48853104.

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 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 6987 and 6992?

Answer:

Least Common Multiple of 6987 and 6992 = 48853104

Step 1: Find the prime factorization of 6987

6987 = 3 x 17 x 137

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 = 48853104 = 2 x 2 x 2 x 2 x 3 x 17 x 19 x 23 x 137

Step 4: Therefore, the least common multiple of 6987 and 6992 is 48853104.