Least Common Multiple of 1985 and 1989
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1985 and 1989 the smallest integer that is 3948165 that is divisible by both numbers.
Least Common Multiple (LCM) of 1985 and 1989 is 3948165.
LCM(1985,1989) = 3948165
LCM of 1985 and 1989
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1985 and 1989 by Prime method
- Least Common Multiple of 1985 and 1989 with GCF Formula
LCM of 1985 and 1989 is 3948165
Least common multiple can be found by multiplying the highest exponent prime factors of 1985 and 1989. First we will calculate the prime factors of 1985 and 1989.
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
Prime Factorization of 1989
| 3 | 1989 |
| 3 | 663 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 1989 are 3, 13,17. Prime factorization of 1989 in exponential form is:
1989 = 32×131×171
Now multiplying the highest exponent prime factors to calculate the LCM of 1985 and 1989.
LCM(1985,1989) = 32×51×131×171×3971
LCM(1985,1989) = 3948165
Factors of 1985
List of positive integer factors of 1985 that divides 1985 without a remainder.
1, 5, 397, 1985
Factors of 1989
List of positive integer factors of 1989 that divides 1989 without a remainder.
1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 663, 1989
Least Common Multiple of 1985 and 1989 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1985 and 1989, than apply into the LCM equation.
GCF(1985,1989) = 1
LCM(1985,1989) = ( 1985 × 1989) / 1
LCM(1985,1989) = 3948165 / 1
LCM(1985,1989) = 3948165
Properties of LCM 1985 and 1989
(i) The LCM of 1989 and 1985 is associative
LCM of 1985 and 1989 = LCM of 1989 and 1985
Related Least Common Multiples of 1985
Related Least Common Multiples of 1989
Frequently Asked Questions on LCM of 1985 and 1989
1. What is the LCM of 1985 and 1989?
Answer: LCM of 1985 and 1989 is 3948165.
2. 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.
3. What are the Factors of 1989?
Answer: Factors of 1989 are 1, 3, 9, 13, 17, 39, 51, 117, 153, 221, 663, 1989. There are 12 integers that are factors of 1989. The greatest factor of 1989 is 1989.
4. How to Find the LCM of 1985 and 1989?
Answer:
Least Common Multiple of 1985 and 1989 = 3948165
Step 1: Find the prime factorization of 1985
1985 = 5 x 397
Step 2: Find the prime factorization of 1989
1989 = 3 x 3 x 13 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3948165 = 3 x 3 x 5 x 13 x 17 x 397
Step 4: Therefore, the least common multiple of 1985 and 1989 is 3948165.