Least Common Multiple of 5611 and 5617
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5611 and 5617 the smallest integer that is 31516987 that is divisible by both numbers.
Least Common Multiple (LCM) of 5611 and 5617 is 31516987.
LCM(5611,5617) = 31516987
LCM of 5611 and 5617
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5611 and 5617 by Prime method
- Least Common Multiple of 5611 and 5617 with GCF Formula
LCM of 5611 and 5617 is 31516987
Least common multiple can be found by multiplying the highest exponent prime factors of 5611 and 5617. First we will calculate the prime factors of 5611 and 5617.
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
Prime Factorization of 5617
| 41 | 5617 |
| 137 | 137 |
| 1 |
Prime factors of 5617 are 41,137. Prime factorization of 5617 in exponential form is:
5617 = 411×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 5611 and 5617.
LCM(5611,5617) = 311×411×1371×1811
LCM(5611,5617) = 31516987
Factors of 5611
List of positive integer factors of 5611 that divides 5611 without a remainder.
1, 31, 181, 5611
Factors of 5617
List of positive integer factors of 5617 that divides 5617 without a remainder.
1, 41, 137, 5617
Least Common Multiple of 5611 and 5617 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5611 and 5617, than apply into the LCM equation.
GCF(5611,5617) = 1
LCM(5611,5617) = ( 5611 × 5617) / 1
LCM(5611,5617) = 31516987 / 1
LCM(5611,5617) = 31516987
Properties of LCM 5611 and 5617
(i) The LCM of 5617 and 5611 is associative
LCM of 5611 and 5617 = LCM of 5617 and 5611
Related Least Common Multiples of 5611
Related Least Common Multiples of 5617
Frequently Asked Questions on LCM of 5611 and 5617
1. What is the LCM of 5611 and 5617?
Answer: LCM of 5611 and 5617 is 31516987.
2. 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.
3. What are the Factors of 5617?
Answer: Factors of 5617 are 1, 41, 137, 5617. There are 4 integers that are factors of 5617. The greatest factor of 5617 is 5617.
4. How to Find the LCM of 5611 and 5617?
Answer:
Least Common Multiple of 5611 and 5617 = 31516987
Step 1: Find the prime factorization of 5611
5611 = 31 x 181
Step 2: Find the prime factorization of 5617
5617 = 41 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31516987 = 31 x 41 x 137 x 181
Step 4: Therefore, the least common multiple of 5611 and 5617 is 31516987.