Least Common Multiple of 5561 and 5565
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5561 and 5565 the smallest integer that is 30946965 that is divisible by both numbers.
Least Common Multiple (LCM) of 5561 and 5565 is 30946965.
LCM(5561,5565) = 30946965
LCM of 5561 and 5565
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5561 and 5565 by Prime method
- Least Common Multiple of 5561 and 5565 with GCF Formula
LCM of 5561 and 5565 is 30946965
Least common multiple can be found by multiplying the highest exponent prime factors of 5561 and 5565. First we will calculate the prime factors of 5561 and 5565.
Prime Factorization of 5561
| 67 | 5561 |
| 83 | 83 |
| 1 |
Prime factors of 5561 are 67,83. Prime factorization of 5561 in exponential form is:
5561 = 671×831
Prime Factorization of 5565
| 3 | 5565 |
| 5 | 1855 |
| 7 | 371 |
| 53 | 53 |
| 1 |
Prime factors of 5565 are 3, 5, 7,53. Prime factorization of 5565 in exponential form is:
5565 = 31×51×71×531
Now multiplying the highest exponent prime factors to calculate the LCM of 5561 and 5565.
LCM(5561,5565) = 31×51×71×531×671×831
LCM(5561,5565) = 30946965
Factors of 5561
List of positive integer factors of 5561 that divides 5561 without a remainder.
1, 67, 83, 5561
Factors of 5565
List of positive integer factors of 5565 that divides 5565 without a remainder.
1, 3, 5, 7, 15, 21, 35, 53, 105, 159, 265, 371, 795, 1113, 1855, 5565
Least Common Multiple of 5561 and 5565 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5561 and 5565, than apply into the LCM equation.
GCF(5561,5565) = 1
LCM(5561,5565) = ( 5561 × 5565) / 1
LCM(5561,5565) = 30946965 / 1
LCM(5561,5565) = 30946965
Properties of LCM 5561 and 5565
(i) The LCM of 5565 and 5561 is associative
LCM of 5561 and 5565 = LCM of 5565 and 5561
Related Least Common Multiples of 5561
Related Least Common Multiples of 5565
Frequently Asked Questions on LCM of 5561 and 5565
1. What is the LCM of 5561 and 5565?
Answer: LCM of 5561 and 5565 is 30946965.
2. What are the Factors of 5561?
Answer: Factors of 5561 are 1, 67, 83, 5561. There are 4 integers that are factors of 5561. The greatest factor of 5561 is 5561.
3. What are the Factors of 5565?
Answer: Factors of 5565 are 1, 3, 5, 7, 15, 21, 35, 53, 105, 159, 265, 371, 795, 1113, 1855, 5565. There are 16 integers that are factors of 5565. The greatest factor of 5565 is 5565.
4. How to Find the LCM of 5561 and 5565?
Answer:
Least Common Multiple of 5561 and 5565 = 30946965
Step 1: Find the prime factorization of 5561
5561 = 67 x 83
Step 2: Find the prime factorization of 5565
5565 = 3 x 5 x 7 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30946965 = 3 x 5 x 7 x 53 x 67 x 83
Step 4: Therefore, the least common multiple of 5561 and 5565 is 30946965.