Least Common Multiple of 985 and 986
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 985 and 986 the smallest integer that is 971210 that is divisible by both numbers.
Least Common Multiple (LCM) of 985 and 986 is 971210.
LCM(985,986) = 971210
LCM of 985 and 986
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 985 and 986 by Prime method
- Least Common Multiple of 985 and 986 with GCF Formula
LCM of 985 and 986 is 971210
Least common multiple can be found by multiplying the highest exponent prime factors of 985 and 986. First we will calculate the prime factors of 985 and 986.
Prime Factorization of 985
| 5 | 985 |
| 197 | 197 |
| 1 |
Prime factors of 985 are 5,197. Prime factorization of 985 in exponential form is:
985 = 51×1971
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
Now multiplying the highest exponent prime factors to calculate the LCM of 985 and 986.
LCM(985,986) = 21×51×171×291×1971
LCM(985,986) = 971210
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1, 2, 17, 29, 34, 58, 493, 986
Least Common Multiple of 985 and 986 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 985 and 986, than apply into the LCM equation.
GCF(985,986) = 1
LCM(985,986) = ( 985 × 986) / 1
LCM(985,986) = 971210 / 1
LCM(985,986) = 971210
Properties of LCM 985 and 986
(i) The LCM of 986 and 985 is associative
LCM of 985 and 986 = LCM of 986 and 985
Related Least Common Multiples of 985
Related Least Common Multiples of 986
Frequently Asked Questions on LCM of 985 and 986
1. What is the LCM of 985 and 986?
Answer: LCM of 985 and 986 is 971210.
2. What are the Factors of 985?
Answer: Factors of 985 are 1, 5, 197, 985. There are 4 integers that are factors of 985. The greatest factor of 985 is 985.
3. 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.
4. How to Find the LCM of 985 and 986?
Answer:
Least Common Multiple of 985 and 986 = 971210
Step 1: Find the prime factorization of 985
985 = 5 x 197
Step 2: Find the prime factorization of 986
986 = 2 x 17 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 971210 = 2 x 5 x 17 x 29 x 197
Step 4: Therefore, the least common multiple of 985 and 986 is 971210.