Least Common Multiple of 5590 and 5597
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5590 and 5597 the smallest integer that is 31287230 that is divisible by both numbers.
Least Common Multiple (LCM) of 5590 and 5597 is 31287230.
LCM(5590,5597) = 31287230
LCM of 5590 and 5597
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5590 and 5597 by Prime method
- Least Common Multiple of 5590 and 5597 with GCF Formula
LCM of 5590 and 5597 is 31287230
Least common multiple can be found by multiplying the highest exponent prime factors of 5590 and 5597. First we will calculate the prime factors of 5590 and 5597.
Prime Factorization of 5590
| 2 | 5590 |
| 5 | 2795 |
| 13 | 559 |
| 43 | 43 |
| 1 |
Prime factors of 5590 are 2, 5, 13,43. Prime factorization of 5590 in exponential form is:
5590 = 21×51×131×431
Prime Factorization of 5597
| 29 | 5597 |
| 193 | 193 |
| 1 |
Prime factors of 5597 are 29,193. Prime factorization of 5597 in exponential form is:
5597 = 291×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 5590 and 5597.
LCM(5590,5597) = 21×51×131×291×431×1931
LCM(5590,5597) = 31287230
Factors of 5590
List of positive integer factors of 5590 that divides 5590 without a remainder.
1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 215, 430, 559, 1118, 2795, 5590
Factors of 5597
List of positive integer factors of 5597 that divides 5597 without a remainder.
1, 29, 193, 5597
Least Common Multiple of 5590 and 5597 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5590 and 5597, than apply into the LCM equation.
GCF(5590,5597) = 1
LCM(5590,5597) = ( 5590 × 5597) / 1
LCM(5590,5597) = 31287230 / 1
LCM(5590,5597) = 31287230
Properties of LCM 5590 and 5597
(i) The LCM of 5597 and 5590 is associative
LCM of 5590 and 5597 = LCM of 5597 and 5590
Related Least Common Multiples of 5590
Related Least Common Multiples of 5597
Frequently Asked Questions on LCM of 5590 and 5597
1. What is the LCM of 5590 and 5597?
Answer: LCM of 5590 and 5597 is 31287230.
2. What are the Factors of 5590?
Answer: Factors of 5590 are 1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 215, 430, 559, 1118, 2795, 5590. There are 16 integers that are factors of 5590. The greatest factor of 5590 is 5590.
3. What are the Factors of 5597?
Answer: Factors of 5597 are 1, 29, 193, 5597. There are 4 integers that are factors of 5597. The greatest factor of 5597 is 5597.
4. How to Find the LCM of 5590 and 5597?
Answer:
Least Common Multiple of 5590 and 5597 = 31287230
Step 1: Find the prime factorization of 5590
5590 = 2 x 5 x 13 x 43
Step 2: Find the prime factorization of 5597
5597 = 29 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31287230 = 2 x 5 x 13 x 29 x 43 x 193
Step 4: Therefore, the least common multiple of 5590 and 5597 is 31287230.