Least Common Multiple of 986 and 991
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 986 and 991 the smallest integer that is 977126 that is divisible by both numbers.
Least Common Multiple (LCM) of 986 and 991 is 977126.
LCM(986,991) = 977126
LCM of 986 and 991
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 986 and 991 by Prime method
- Least Common Multiple of 986 and 991 with GCF Formula
LCM of 986 and 991 is 977126
Least common multiple can be found by multiplying the highest exponent prime factors of 986 and 991. First we will calculate the prime factors of 986 and 991.
Prime Factorization of 986
| 2 | 986 |
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 986 are 2, 17,29. Prime factorization of 986 in exponential form is:
986 = 21×171×291
Prime Factorization of 991
| 991 | 991 |
| 1 |
Prime factors of 991 are 991. Prime factorization of 991 in exponential form is:
991 = 9911
Now multiplying the highest exponent prime factors to calculate the LCM of 986 and 991.
LCM(986,991) = 21×171×291×9911
LCM(986,991) = 977126
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1, 991
Least Common Multiple of 986 and 991 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 986 and 991, than apply into the LCM equation.
GCF(986,991) = 1
LCM(986,991) = ( 986 × 991) / 1
LCM(986,991) = 977126 / 1
LCM(986,991) = 977126
Properties of LCM 986 and 991
(i) The LCM of 991 and 986 is associative
LCM of 986 and 991 = LCM of 991 and 986
Related Least Common Multiples of 986
Related Least Common Multiples of 991
Frequently Asked Questions on LCM of 986 and 991
1. What is the LCM of 986 and 991?
Answer: LCM of 986 and 991 is 977126.
2. What are the Factors of 986?
Answer: Factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986. There are 8 integers that are factors of 986. The greatest factor of 986 is 986.
3. What are the Factors of 991?
Answer: Factors of 991 are 1, 991. There are 2 integers that are factors of 991. The greatest factor of 991 is 991.
4. How to Find the LCM of 986 and 991?
Answer:
Least Common Multiple of 986 and 991 = 977126
Step 1: Find the prime factorization of 986
986 = 2 x 17 x 29
Step 2: Find the prime factorization of 991
991 = 991
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 977126 = 2 x 17 x 29 x 991
Step 4: Therefore, the least common multiple of 986 and 991 is 977126.
