Least Common Multiple of 1581 and 1587
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1581 and 1587 the smallest integer that is 836349 that is divisible by both numbers.
Least Common Multiple (LCM) of 1581 and 1587 is 836349.
LCM(1581,1587) = 836349
LCM of 1581 and 1587
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1581 and 1587 by Prime method
- Least Common Multiple of 1581 and 1587 with GCF Formula
LCM of 1581 and 1587 is 836349
Least common multiple can be found by multiplying the highest exponent prime factors of 1581 and 1587. First we will calculate the prime factors of 1581 and 1587.
Prime Factorization of 1581
| 3 | 1581 |
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 1581 are 3, 17,31. Prime factorization of 1581 in exponential form is:
1581 = 31×171×311
Prime Factorization of 1587
| 3 | 1587 |
| 23 | 529 |
| 23 | 23 |
| 1 |
Prime factors of 1587 are 3,23. Prime factorization of 1587 in exponential form is:
1587 = 31×232
Now multiplying the highest exponent prime factors to calculate the LCM of 1581 and 1587.
LCM(1581,1587) = 31×171×232×311
LCM(1581,1587) = 836349
Factors of 1581
List of positive integer factors of 1581 that divides 1581 without a remainder.
1, 3, 17, 31, 51, 93, 527, 1581
Factors of 1587
List of positive integer factors of 1587 that divides 1587 without a remainder.
1, 3, 23, 69, 529, 1587
Least Common Multiple of 1581 and 1587 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1581 and 1587, than apply into the LCM equation.
GCF(1581,1587) = 3
LCM(1581,1587) = ( 1581 × 1587) / 3
LCM(1581,1587) = 2509047 / 3
LCM(1581,1587) = 836349
Properties of LCM 1581 and 1587
(i) The LCM of 1587 and 1581 is associative
LCM of 1581 and 1587 = LCM of 1587 and 1581
Related Least Common Multiples of 1581
Related Least Common Multiples of 1587
Frequently Asked Questions on LCM of 1581 and 1587
1. What is the LCM of 1581 and 1587?
Answer: LCM of 1581 and 1587 is 836349.
2. What are the Factors of 1581?
Answer: Factors of 1581 are 1, 3, 17, 31, 51, 93, 527, 1581. There are 8 integers that are factors of 1581. The greatest factor of 1581 is 1581.
3. What are the Factors of 1587?
Answer: Factors of 1587 are 1, 3, 23, 69, 529, 1587. There are 6 integers that are factors of 1587. The greatest factor of 1587 is 1587.
4. How to Find the LCM of 1581 and 1587?
Answer:
Least Common Multiple of 1581 and 1587 = 836349
Step 1: Find the prime factorization of 1581
1581 = 3 x 17 x 31
Step 2: Find the prime factorization of 1587
1587 = 3 x 23 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 836349 = 3 x 17 x 23 x 23 x 31
Step 4: Therefore, the least common multiple of 1581 and 1587 is 836349.