Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6985 and 6991 the smallest integer that is 48832135 that is divisible by both numbers.
Least Common Multiple (LCM) of 6985 and 6991 is 48832135.
LCM(6985,6991) = 48832135
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 6985 and 6991. First we will calculate the prime factors of 6985 and 6991.
Prime Factorization of 6985
5 | 6985 |
11 | 1397 |
127 | 127 |
1 |
Prime factors of 6985 are 5, 11,127. Prime factorization of 6985 in exponential form is:
6985 = 51×111×1271
Prime Factorization of 6991
6991 | 6991 |
1 |
Prime factors of 6991 are 6991. Prime factorization of 6991 in exponential form is:
6991 = 69911
Now multiplying the highest exponent prime factors to calculate the LCM of 6985 and 6991.
LCM(6985,6991) = 51×111×1271×69911
LCM(6985,6991) = 48832135
Factors of 6985
List of positive integer factors of 6985 that divides 6985 without a remainder.
1, 5, 11, 55, 127, 635, 1397, 6985
Factors of 6991
List of positive integer factors of 6991 that divides 6991 without a remainder.
1, 6991
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6985 and 6991, than apply into the LCM equation.
GCF(6985,6991) = 1
LCM(6985,6991) = ( 6985 × 6991) / 1
LCM(6985,6991) = 48832135 / 1
LCM(6985,6991) = 48832135
(i) The LCM of 6991 and 6985 is associative
LCM of 6985 and 6991 = LCM of 6991 and 6985
1. What is the LCM of 6985 and 6991?
Answer: LCM of 6985 and 6991 is 48832135.
2. What are the Factors of 6985?
Answer: Factors of 6985 are 1, 5, 11, 55, 127, 635, 1397, 6985. There are 8 integers that are factors of 6985. The greatest factor of 6985 is 6985.
3. 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.
4. How to Find the LCM of 6985 and 6991?
Answer:
Least Common Multiple of 6985 and 6991 = 48832135
Step 1: Find the prime factorization of 6985
6985 = 5 x 11 x 127
Step 2: Find the prime factorization of 6991
6991 = 6991
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 48832135 = 5 x 11 x 127 x 6991
Step 4: Therefore, the least common multiple of 6985 and 6991 is 48832135.