Least Common Multiple of 5609 and 5611
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5609 and 5611 the smallest integer that is 31472099 that is divisible by both numbers.
Least Common Multiple (LCM) of 5609 and 5611 is 31472099.
LCM(5609,5611) = 31472099
LCM of 5609 and 5611
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5609 and 5611 by Prime method
- Least Common Multiple of 5609 and 5611 with GCF Formula
LCM of 5609 and 5611 is 31472099
Least common multiple can be found by multiplying the highest exponent prime factors of 5609 and 5611. First we will calculate the prime factors of 5609 and 5611.
Prime Factorization of 5609
| 71 | 5609 |
| 79 | 79 |
| 1 |
Prime factors of 5609 are 71,79. Prime factorization of 5609 in exponential form is:
5609 = 711×791
Prime Factorization of 5611
| 31 | 5611 |
| 181 | 181 |
| 1 |
Prime factors of 5611 are 31,181. Prime factorization of 5611 in exponential form is:
5611 = 311×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 5609 and 5611.
LCM(5609,5611) = 311×711×791×1811
LCM(5609,5611) = 31472099
Factors of 5609
List of positive integer factors of 5609 that divides 5609 without a remainder.
1, 71, 79, 5609
Factors of 5611
List of positive integer factors of 5611 that divides 5611 without a remainder.
1, 31, 181, 5611
Least Common Multiple of 5609 and 5611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5609 and 5611, than apply into the LCM equation.
GCF(5609,5611) = 1
LCM(5609,5611) = ( 5609 × 5611) / 1
LCM(5609,5611) = 31472099 / 1
LCM(5609,5611) = 31472099
Properties of LCM 5609 and 5611
(i) The LCM of 5611 and 5609 is associative
LCM of 5609 and 5611 = LCM of 5611 and 5609
Related Least Common Multiples of 5609
Related Least Common Multiples of 5611
Frequently Asked Questions on LCM of 5609 and 5611
1. What is the LCM of 5609 and 5611?
Answer: LCM of 5609 and 5611 is 31472099.
2. What are the Factors of 5609?
Answer: Factors of 5609 are 1, 71, 79, 5609. There are 4 integers that are factors of 5609. The greatest factor of 5609 is 5609.
3. What are the Factors of 5611?
Answer: Factors of 5611 are 1, 31, 181, 5611. There are 4 integers that are factors of 5611. The greatest factor of 5611 is 5611.
4. How to Find the LCM of 5609 and 5611?
Answer:
Least Common Multiple of 5609 and 5611 = 31472099
Step 1: Find the prime factorization of 5609
5609 = 71 x 79
Step 2: Find the prime factorization of 5611
5611 = 31 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31472099 = 31 x 71 x 79 x 181
Step 4: Therefore, the least common multiple of 5609 and 5611 is 31472099.