Least Common Multiple of 1573 and 1581
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1573 and 1581 the smallest integer that is 2486913 that is divisible by both numbers.
Least Common Multiple (LCM) of 1573 and 1581 is 2486913.
LCM(1573,1581) = 2486913
LCM of 1573 and 1581
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1573 and 1581 by Prime method
- Least Common Multiple of 1573 and 1581 with GCF Formula
LCM of 1573 and 1581 is 2486913
Least common multiple can be found by multiplying the highest exponent prime factors of 1573 and 1581. First we will calculate the prime factors of 1573 and 1581.
Prime Factorization of 1573
| 11 | 1573 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 1573 are 11,13. Prime factorization of 1573 in exponential form is:
1573 = 112×131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1573 and 1581.
LCM(1573,1581) = 31×112×131×171×311
LCM(1573,1581) = 2486913
Factors of 1573
List of positive integer factors of 1573 that divides 1573 without a remainder.
1, 11, 13, 121, 143, 1573
Factors of 1581
List of positive integer factors of 1581 that divides 1581 without a remainder.
1, 3, 17, 31, 51, 93, 527, 1581
Least Common Multiple of 1573 and 1581 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1573 and 1581, than apply into the LCM equation.
GCF(1573,1581) = 1
LCM(1573,1581) = ( 1573 × 1581) / 1
LCM(1573,1581) = 2486913 / 1
LCM(1573,1581) = 2486913
Properties of LCM 1573 and 1581
(i) The LCM of 1581 and 1573 is associative
LCM of 1573 and 1581 = LCM of 1581 and 1573
Related Least Common Multiples of 1573
Related Least Common Multiples of 1581
Frequently Asked Questions on LCM of 1573 and 1581
1. What is the LCM of 1573 and 1581?
Answer: LCM of 1573 and 1581 is 2486913.
2. What are the Factors of 1573?
Answer: Factors of 1573 are 1, 11, 13, 121, 143, 1573. There are 6 integers that are factors of 1573. The greatest factor of 1573 is 1573.
3. 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.
4. How to Find the LCM of 1573 and 1581?
Answer:
Least Common Multiple of 1573 and 1581 = 2486913
Step 1: Find the prime factorization of 1573
1573 = 11 x 11 x 13
Step 2: Find the prime factorization of 1581
1581 = 3 x 17 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2486913 = 3 x 11 x 11 x 13 x 17 x 31
Step 4: Therefore, the least common multiple of 1573 and 1581 is 2486913.