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 6995 the smallest integer that is 48881060 that is divisible by both numbers.
Least Common Multiple (LCM) of 6988 and 6995 is 48881060.
LCM(6988,6995) = 48881060
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6988 and 6995. First we will calculate the prime factors of 6988 and 6995.
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 6995
5 | 6995 |
1399 | 1399 |
1 |
Prime factors of 6995 are 5,1399. Prime factorization of 6995 in exponential form is:
6995 = 51×13991
Now multiplying the highest exponent prime factors to calculate the LCM of 6988 and 6995.
LCM(6988,6995) = 22×51×13991×17471
LCM(6988,6995) = 48881060
Factors of 6988
List of positive integer factors of 6988 that divides 6988 without a remainder.
1, 2, 4, 1747, 3494, 6988
Factors of 6995
List of positive integer factors of 6995 that divides 6995 without a remainder.
1, 5, 1399, 6995
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6988 and 6995, than apply into the LCM equation.
GCF(6988,6995) = 1
LCM(6988,6995) = ( 6988 × 6995) / 1
LCM(6988,6995) = 48881060 / 1
LCM(6988,6995) = 48881060
(i) The LCM of 6995 and 6988 is associative
LCM of 6988 and 6995 = LCM of 6995 and 6988
1. What is the LCM of 6988 and 6995?
Answer: LCM of 6988 and 6995 is 48881060.
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 6995?
Answer: Factors of 6995 are 1, 5, 1399, 6995. There are 4 integers that are factors of 6995. The greatest factor of 6995 is 6995.
4. How to Find the LCM of 6988 and 6995?
Answer:
Least Common Multiple of 6988 and 6995 = 48881060
Step 1: Find the prime factorization of 6988
6988 = 2 x 2 x 1747
Step 2: Find the prime factorization of 6995
6995 = 5 x 1399
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48881060 = 2 x 2 x 5 x 1399 x 1747
Step 4: Therefore, the least common multiple of 6988 and 6995 is 48881060.