Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6991 and 6997 the smallest integer that is 48916027 that is divisible by both numbers.
Least Common Multiple (LCM) of 6991 and 6997 is 48916027.
LCM(6991,6997) = 48916027
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 6991 and 6997. First we will calculate the prime factors of 6991 and 6997.
Prime Factorization of 6991
6991 | 6991 |
1 |
Prime factors of 6991 are 6991. Prime factorization of 6991 in exponential form is:
6991 = 69911
Prime Factorization of 6997
6997 | 6997 |
1 |
Prime factors of 6997 are 6997. Prime factorization of 6997 in exponential form is:
6997 = 69971
Now multiplying the highest exponent prime factors to calculate the LCM of 6991 and 6997.
LCM(6991,6997) = 69911×69971
LCM(6991,6997) = 48916027
Factors of 6991
List of positive integer factors of 6991 that divides 6991 without a remainder.
1, 6991
Factors of 6997
List of positive integer factors of 6997 that divides 6997 without a remainder.
1, 6997
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6991 and 6997, than apply into the LCM equation.
GCF(6991,6997) = 1
LCM(6991,6997) = ( 6991 × 6997) / 1
LCM(6991,6997) = 48916027 / 1
LCM(6991,6997) = 48916027
(i) The LCM of 6997 and 6991 is associative
LCM of 6991 and 6997 = LCM of 6997 and 6991
1. What is the LCM of 6991 and 6997?
Answer: LCM of 6991 and 6997 is 48916027.
2. What are the Factors of 6991?
Answer: Factors of 6991 are 1, 6991. There are 2 integers that are factors of 6991. The greatest factor of 6991 is 6991.
3. What are the Factors of 6997?
Answer: Factors of 6997 are 1, 6997. There are 2 integers that are factors of 6997. The greatest factor of 6997 is 6997.
4. How to Find the LCM of 6991 and 6997?
Answer:
Least Common Multiple of 6991 and 6997 = 48916027
Step 1: Find the prime factorization of 6991
6991 = 6991
Step 2: Find the prime factorization of 6997
6997 = 6997
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48916027 = 6991 x 6997
Step 4: Therefore, the least common multiple of 6991 and 6997 is 48916027.