Least Common Multiple of 1981 and 1985
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1981 and 1985 the smallest integer that is 3932285 that is divisible by both numbers.
Least Common Multiple (LCM) of 1981 and 1985 is 3932285.
LCM(1981,1985) = 3932285
LCM of 1981 and 1985
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1981 and 1985 by Prime method
- Least Common Multiple of 1981 and 1985 with GCF Formula
LCM of 1981 and 1985 is 3932285
Least common multiple can be found by multiplying the highest exponent prime factors of 1981 and 1985. First we will calculate the prime factors of 1981 and 1985.
Prime Factorization of 1981
| 7 | 1981 |
| 283 | 283 |
| 1 |
Prime factors of 1981 are 7,283. Prime factorization of 1981 in exponential form is:
1981 = 71×2831
Prime Factorization of 1985
| 5 | 1985 |
| 397 | 397 |
| 1 |
Prime factors of 1985 are 5,397. Prime factorization of 1985 in exponential form is:
1985 = 51×3971
Now multiplying the highest exponent prime factors to calculate the LCM of 1981 and 1985.
LCM(1981,1985) = 51×71×2831×3971
LCM(1981,1985) = 3932285
Factors of 1981
List of positive integer factors of 1981 that divides 1981 without a remainder.
1, 7, 283, 1981
Factors of 1985
List of positive integer factors of 1985 that divides 1985 without a remainder.
1, 5, 397, 1985
Least Common Multiple of 1981 and 1985 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1981 and 1985, than apply into the LCM equation.
GCF(1981,1985) = 1
LCM(1981,1985) = ( 1981 × 1985) / 1
LCM(1981,1985) = 3932285 / 1
LCM(1981,1985) = 3932285
Properties of LCM 1981 and 1985
(i) The LCM of 1985 and 1981 is associative
LCM of 1981 and 1985 = LCM of 1985 and 1981
Related Least Common Multiples of 1981
Related Least Common Multiples of 1985
Frequently Asked Questions on LCM of 1981 and 1985
1. What is the LCM of 1981 and 1985?
Answer: LCM of 1981 and 1985 is 3932285.
2. What are the Factors of 1981?
Answer: Factors of 1981 are 1, 7, 283, 1981. There are 4 integers that are factors of 1981. The greatest factor of 1981 is 1981.
3. What are the Factors of 1985?
Answer: Factors of 1985 are 1, 5, 397, 1985. There are 4 integers that are factors of 1985. The greatest factor of 1985 is 1985.
4. How to Find the LCM of 1981 and 1985?
Answer:
Least Common Multiple of 1981 and 1985 = 3932285
Step 1: Find the prime factorization of 1981
1981 = 7 x 283
Step 2: Find the prime factorization of 1985
1985 = 5 x 397
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3932285 = 5 x 7 x 283 x 397
Step 4: Therefore, the least common multiple of 1981 and 1985 is 3932285.