Least Common Multiple of 5490 and 5497
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5490 and 5497 the smallest integer that is 30178530 that is divisible by both numbers.
Least Common Multiple (LCM) of 5490 and 5497 is 30178530.
LCM(5490,5497) = 30178530
LCM of 5490 and 5497
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5490 and 5497 by Prime method
- Least Common Multiple of 5490 and 5497 with GCF Formula
LCM of 5490 and 5497 is 30178530
Least common multiple can be found by multiplying the highest exponent prime factors of 5490 and 5497. First we will calculate the prime factors of 5490 and 5497.
Prime Factorization of 5490
| 2 | 5490 |
| 3 | 2745 |
| 3 | 915 |
| 5 | 305 |
| 61 | 61 |
| 1 |
Prime factors of 5490 are 2, 3, 5,61. Prime factorization of 5490 in exponential form is:
5490 = 21×32×51×611
Prime Factorization of 5497
| 23 | 5497 |
| 239 | 239 |
| 1 |
Prime factors of 5497 are 23,239. Prime factorization of 5497 in exponential form is:
5497 = 231×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 5490 and 5497.
LCM(5490,5497) = 21×32×51×231×611×2391
LCM(5490,5497) = 30178530
Factors of 5490
List of positive integer factors of 5490 that divides 5490 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490
Factors of 5497
List of positive integer factors of 5497 that divides 5497 without a remainder.
1, 23, 239, 5497
Least Common Multiple of 5490 and 5497 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5490 and 5497, than apply into the LCM equation.
GCF(5490,5497) = 1
LCM(5490,5497) = ( 5490 × 5497) / 1
LCM(5490,5497) = 30178530 / 1
LCM(5490,5497) = 30178530
Properties of LCM 5490 and 5497
(i) The LCM of 5497 and 5490 is associative
LCM of 5490 and 5497 = LCM of 5497 and 5490
Related Least Common Multiples of 5490
Related Least Common Multiples of 5497
Frequently Asked Questions on LCM of 5490 and 5497
1. What is the LCM of 5490 and 5497?
Answer: LCM of 5490 and 5497 is 30178530.
2. What are the Factors of 5490?
Answer: Factors of 5490 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490. There are 24 integers that are factors of 5490. The greatest factor of 5490 is 5490.
3. What are the Factors of 5497?
Answer: Factors of 5497 are 1, 23, 239, 5497. There are 4 integers that are factors of 5497. The greatest factor of 5497 is 5497.
4. How to Find the LCM of 5490 and 5497?
Answer:
Least Common Multiple of 5490 and 5497 = 30178530
Step 1: Find the prime factorization of 5490
5490 = 2 x 3 x 3 x 5 x 61
Step 2: Find the prime factorization of 5497
5497 = 23 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30178530 = 2 x 3 x 3 x 5 x 23 x 61 x 239
Step 4: Therefore, the least common multiple of 5490 and 5497 is 30178530.