Least Common Multiple of 1557 and 1561
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1557 and 1561 the smallest integer that is 2430477 that is divisible by both numbers.
Least Common Multiple (LCM) of 1557 and 1561 is 2430477.
LCM(1557,1561) = 2430477
LCM of 1557 and 1561
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1557 and 1561 by Prime method
- Least Common Multiple of 1557 and 1561 with GCF Formula
LCM of 1557 and 1561 is 2430477
Least common multiple can be found by multiplying the highest exponent prime factors of 1557 and 1561. First we will calculate the prime factors of 1557 and 1561.
Prime Factorization of 1557
| 3 | 1557 |
| 3 | 519 |
| 173 | 173 |
| 1 |
Prime factors of 1557 are 3,173. Prime factorization of 1557 in exponential form is:
1557 = 32×1731
Prime Factorization of 1561
| 7 | 1561 |
| 223 | 223 |
| 1 |
Prime factors of 1561 are 7,223. Prime factorization of 1561 in exponential form is:
1561 = 71×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 1557 and 1561.
LCM(1557,1561) = 32×71×1731×2231
LCM(1557,1561) = 2430477
Factors of 1557
List of positive integer factors of 1557 that divides 1557 without a remainder.
1, 3, 9, 173, 519, 1557
Factors of 1561
List of positive integer factors of 1561 that divides 1561 without a remainder.
1, 7, 223, 1561
Least Common Multiple of 1557 and 1561 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1557 and 1561, than apply into the LCM equation.
GCF(1557,1561) = 1
LCM(1557,1561) = ( 1557 × 1561) / 1
LCM(1557,1561) = 2430477 / 1
LCM(1557,1561) = 2430477
Properties of LCM 1557 and 1561
(i) The LCM of 1561 and 1557 is associative
LCM of 1557 and 1561 = LCM of 1561 and 1557
Related Least Common Multiples of 1557
Related Least Common Multiples of 1561
Frequently Asked Questions on LCM of 1557 and 1561
1. What is the LCM of 1557 and 1561?
Answer: LCM of 1557 and 1561 is 2430477.
2. What are the Factors of 1557?
Answer: Factors of 1557 are 1, 3, 9, 173, 519, 1557. There are 6 integers that are factors of 1557. The greatest factor of 1557 is 1557.
3. What are the Factors of 1561?
Answer: Factors of 1561 are 1, 7, 223, 1561. There are 4 integers that are factors of 1561. The greatest factor of 1561 is 1561.
4. How to Find the LCM of 1557 and 1561?
Answer:
Least Common Multiple of 1557 and 1561 = 2430477
Step 1: Find the prime factorization of 1557
1557 = 3 x 3 x 173
Step 2: Find the prime factorization of 1561
1561 = 7 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2430477 = 3 x 3 x 7 x 173 x 223
Step 4: Therefore, the least common multiple of 1557 and 1561 is 2430477.