Least Common Multiple of 1579 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 1579 and 1581 the smallest integer that is 2496399 that is divisible by both numbers.
Least Common Multiple (LCM) of 1579 and 1581 is 2496399.
LCM(1579,1581) = 2496399
LCM of 1579 and 1581
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1579 and 1581 by Prime method
- Least Common Multiple of 1579 and 1581 with GCF Formula
LCM of 1579 and 1581 is 2496399
Least common multiple can be found by multiplying the highest exponent prime factors of 1579 and 1581. First we will calculate the prime factors of 1579 and 1581.
Prime Factorization of 1579
| 1579 | 1579 |
| 1 |
Prime factors of 1579 are 1579. Prime factorization of 1579 in exponential form is:
1579 = 15791
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 1579 and 1581.
LCM(1579,1581) = 31×171×311×15791
LCM(1579,1581) = 2496399
Factors of 1579
List of positive integer factors of 1579 that divides 1579 without a remainder.
1, 1579
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 1579 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 1579 and 1581, than apply into the LCM equation.
GCF(1579,1581) = 1
LCM(1579,1581) = ( 1579 × 1581) / 1
LCM(1579,1581) = 2496399 / 1
LCM(1579,1581) = 2496399
Properties of LCM 1579 and 1581
(i) The LCM of 1581 and 1579 is associative
LCM of 1579 and 1581 = LCM of 1581 and 1579
Related Least Common Multiples of 1579
Related Least Common Multiples of 1581
Frequently Asked Questions on LCM of 1579 and 1581
1. What is the LCM of 1579 and 1581?
Answer: LCM of 1579 and 1581 is 2496399.
2. What are the Factors of 1579?
Answer: Factors of 1579 are 1, 1579. There are 2 integers that are factors of 1579. The greatest factor of 1579 is 1579.
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 1579 and 1581?
Answer:
Least Common Multiple of 1579 and 1581 = 2496399
Step 1: Find the prime factorization of 1579
1579 = 1579
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 = 2496399 = 3 x 17 x 31 x 1579
Step 4: Therefore, the least common multiple of 1579 and 1581 is 2496399.