Least Common Multiple of 5495 and 5499
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5495 and 5499 the smallest integer that is 30217005 that is divisible by both numbers.
Least Common Multiple (LCM) of 5495 and 5499 is 30217005.
LCM(5495,5499) = 30217005
LCM of 5495 and 5499
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5495 and 5499 by Prime method
- Least Common Multiple of 5495 and 5499 with GCF Formula
LCM of 5495 and 5499 is 30217005
Least common multiple can be found by multiplying the highest exponent prime factors of 5495 and 5499. First we will calculate the prime factors of 5495 and 5499.
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
Prime Factorization of 5499
| 3 | 5499 |
| 3 | 1833 |
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 5499 are 3, 13,47. Prime factorization of 5499 in exponential form is:
5499 = 32×131×471
Now multiplying the highest exponent prime factors to calculate the LCM of 5495 and 5499.
LCM(5495,5499) = 32×51×71×131×471×1571
LCM(5495,5499) = 30217005
Factors of 5495
List of positive integer factors of 5495 that divides 5495 without a remainder.
1, 5, 7, 35, 157, 785, 1099, 5495
Factors of 5499
List of positive integer factors of 5499 that divides 5499 without a remainder.
1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833, 5499
Least Common Multiple of 5495 and 5499 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5495 and 5499, than apply into the LCM equation.
GCF(5495,5499) = 1
LCM(5495,5499) = ( 5495 × 5499) / 1
LCM(5495,5499) = 30217005 / 1
LCM(5495,5499) = 30217005
Properties of LCM 5495 and 5499
(i) The LCM of 5499 and 5495 is associative
LCM of 5495 and 5499 = LCM of 5499 and 5495
Related Least Common Multiples of 5495
Related Least Common Multiples of 5499
Frequently Asked Questions on LCM of 5495 and 5499
1. What is the LCM of 5495 and 5499?
Answer: LCM of 5495 and 5499 is 30217005.
2. 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.
3. What are the Factors of 5499?
Answer: Factors of 5499 are 1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833, 5499. There are 12 integers that are factors of 5499. The greatest factor of 5499 is 5499.
4. How to Find the LCM of 5495 and 5499?
Answer:
Least Common Multiple of 5495 and 5499 = 30217005
Step 1: Find the prime factorization of 5495
5495 = 5 x 7 x 157
Step 2: Find the prime factorization of 5499
5499 = 3 x 3 x 13 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30217005 = 3 x 3 x 5 x 7 x 13 x 47 x 157
Step 4: Therefore, the least common multiple of 5495 and 5499 is 30217005.