Least Common Multiple of 6988 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 6988 and 6992 the smallest integer that is 12215024 that is divisible by both numbers.

Least Common Multiple (LCM) of 6988 and 6992 is 12215024.

LCM(6988,6992) = 12215024

LCM of 6988 and 6992

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

LCM of:
and

Least Common Multiple of 6988 and 6992

LCM of 6988 and 6992 is 12215024

Least common multiple can be found by multiplying the highest exponent prime factors of 6988 and 6992. First we will calculate the prime factors of 6988 and 6992.

Prime Factorization of 6988


2 6988
2 3494
1747 1747
1

Prime factors of 6988 are 2,1747. Prime factorization of 6988 in exponential form is:

6988 = 22×17471

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 6988 and 6992.

LCM(6988,6992) = 24×191×231×17471
LCM(6988,6992) = 12215024

Factors of 6988

List of positive integer factors of 6988 that divides 6988 without a remainder.

1, 2, 4, 1747, 3494, 6988

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 6988 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 6988 and 6992, than apply into the LCM equation.

GCF(6988,6992) = 4
LCM(6988,6992) = ( 6988 × 6992) / 4
LCM(6988,6992) = 48860096 / 4
LCM(6988,6992) = 12215024

Properties of LCM 6988 and 6992

(i) The LCM of 6992 and 6988 is associative

LCM of 6988 and 6992 = LCM of 6992 and 6988

Related Least Common Multiples of 6988

Related Least Common Multiples of 6992

Frequently Asked Questions on LCM of 6988 and 6992

1. What is the LCM of 6988 and 6992?

Answer: LCM of 6988 and 6992 is 12215024.

2. What are the Factors of 6988?

Answer: Factors of 6988 are 1, 2, 4, 1747, 3494, 6988. There are 6 integers that are factors of 6988. The greatest factor of 6988 is 6988.

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 6988 and 6992?

Answer:

Least Common Multiple of 6988 and 6992 = 12215024

Step 1: Find the prime factorization of 6988

6988 = 2 x 2 x 1747

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 = 12215024 = 2 x 2 x 2 x 2 x 19 x 23 x 1747

Step 4: Therefore, the least common multiple of 6988 and 6992 is 12215024.