Least Common Multiple of 1577 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 1577 and 1581 the smallest integer that is 2493237 that is divisible by both numbers.
Least Common Multiple (LCM) of 1577 and 1581 is 2493237.
LCM(1577,1581) = 2493237
LCM of 1577 and 1581
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1577 and 1581 by Prime method
- Least Common Multiple of 1577 and 1581 with GCF Formula
LCM of 1577 and 1581 is 2493237
Least common multiple can be found by multiplying the highest exponent prime factors of 1577 and 1581. First we will calculate the prime factors of 1577 and 1581.
Prime Factorization of 1577
| 19 | 1577 |
| 83 | 83 |
| 1 |
Prime factors of 1577 are 19,83. Prime factorization of 1577 in exponential form is:
1577 = 191×831
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 1577 and 1581.
LCM(1577,1581) = 31×171×191×311×831
LCM(1577,1581) = 2493237
Factors of 1577
List of positive integer factors of 1577 that divides 1577 without a remainder.
1, 19, 83, 1577
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 1577 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 1577 and 1581, than apply into the LCM equation.
GCF(1577,1581) = 1
LCM(1577,1581) = ( 1577 × 1581) / 1
LCM(1577,1581) = 2493237 / 1
LCM(1577,1581) = 2493237
Properties of LCM 1577 and 1581
(i) The LCM of 1581 and 1577 is associative
LCM of 1577 and 1581 = LCM of 1581 and 1577
Related Least Common Multiples of 1577
Related Least Common Multiples of 1581
Frequently Asked Questions on LCM of 1577 and 1581
1. What is the LCM of 1577 and 1581?
Answer: LCM of 1577 and 1581 is 2493237.
2. What are the Factors of 1577?
Answer: Factors of 1577 are 1, 19, 83, 1577. There are 4 integers that are factors of 1577. The greatest factor of 1577 is 1577.
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 1577 and 1581?
Answer:
Least Common Multiple of 1577 and 1581 = 2493237
Step 1: Find the prime factorization of 1577
1577 = 19 x 83
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 = 2493237 = 3 x 17 x 19 x 31 x 83
Step 4: Therefore, the least common multiple of 1577 and 1581 is 2493237.