Least Common Multiple of 5489 and 5495
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5489 and 5495 the smallest integer that is 30162055 that is divisible by both numbers.
Least Common Multiple (LCM) of 5489 and 5495 is 30162055.
LCM(5489,5495) = 30162055
LCM of 5489 and 5495
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5489 and 5495 by Prime method
- Least Common Multiple of 5489 and 5495 with GCF Formula
LCM of 5489 and 5495 is 30162055
Least common multiple can be found by multiplying the highest exponent prime factors of 5489 and 5495. First we will calculate the prime factors of 5489 and 5495.
Prime Factorization of 5489
| 11 | 5489 |
| 499 | 499 |
| 1 |
Prime factors of 5489 are 11,499. Prime factorization of 5489 in exponential form is:
5489 = 111×4991
Prime Factorization of 5495
| 5 | 5495 |
| 7 | 1099 |
| 157 | 157 |
| 1 |
Prime factors of 5495 are 5, 7,157. Prime factorization of 5495 in exponential form is:
5495 = 51×71×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 5489 and 5495.
LCM(5489,5495) = 51×71×111×1571×4991
LCM(5489,5495) = 30162055
Factors of 5489
List of positive integer factors of 5489 that divides 5489 without a remainder.
1, 11, 499, 5489
Factors of 5495
List of positive integer factors of 5495 that divides 5495 without a remainder.
1, 5, 7, 35, 157, 785, 1099, 5495
Least Common Multiple of 5489 and 5495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5489 and 5495, than apply into the LCM equation.
GCF(5489,5495) = 1
LCM(5489,5495) = ( 5489 × 5495) / 1
LCM(5489,5495) = 30162055 / 1
LCM(5489,5495) = 30162055
Properties of LCM 5489 and 5495
(i) The LCM of 5495 and 5489 is associative
LCM of 5489 and 5495 = LCM of 5495 and 5489
Related Least Common Multiples of 5489
Related Least Common Multiples of 5495
Frequently Asked Questions on LCM of 5489 and 5495
1. What is the LCM of 5489 and 5495?
Answer: LCM of 5489 and 5495 is 30162055.
2. What are the Factors of 5489?
Answer: Factors of 5489 are 1, 11, 499, 5489. There are 4 integers that are factors of 5489. The greatest factor of 5489 is 5489.
3. What are the Factors of 5495?
Answer: Factors of 5495 are 1, 5, 7, 35, 157, 785, 1099, 5495. There are 8 integers that are factors of 5495. The greatest factor of 5495 is 5495.
4. How to Find the LCM of 5489 and 5495?
Answer:
Least Common Multiple of 5489 and 5495 = 30162055
Step 1: Find the prime factorization of 5489
5489 = 11 x 499
Step 2: Find the prime factorization of 5495
5495 = 5 x 7 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30162055 = 5 x 7 x 11 x 157 x 499
Step 4: Therefore, the least common multiple of 5489 and 5495 is 30162055.