Least Common Multiple of 5597 and 5602
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5597 and 5602 the smallest integer that is 31354394 that is divisible by both numbers.
Least Common Multiple (LCM) of 5597 and 5602 is 31354394.
LCM(5597,5602) = 31354394
LCM of 5597 and 5602
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5597 and 5602 by Prime method
- Least Common Multiple of 5597 and 5602 with GCF Formula
LCM of 5597 and 5602 is 31354394
Least common multiple can be found by multiplying the highest exponent prime factors of 5597 and 5602. First we will calculate the prime factors of 5597 and 5602.
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
Prime Factorization of 5602
| 2 | 5602 |
| 2801 | 2801 |
| 1 |
Prime factors of 5602 are 2,2801. Prime factorization of 5602 in exponential form is:
5602 = 21×28011
Now multiplying the highest exponent prime factors to calculate the LCM of 5597 and 5602.
LCM(5597,5602) = 21×291×1931×28011
LCM(5597,5602) = 31354394
Factors of 5597
List of positive integer factors of 5597 that divides 5597 without a remainder.
1, 29, 193, 5597
Factors of 5602
List of positive integer factors of 5602 that divides 5602 without a remainder.
1, 2, 2801, 5602
Least Common Multiple of 5597 and 5602 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5597 and 5602, than apply into the LCM equation.
GCF(5597,5602) = 1
LCM(5597,5602) = ( 5597 × 5602) / 1
LCM(5597,5602) = 31354394 / 1
LCM(5597,5602) = 31354394
Properties of LCM 5597 and 5602
(i) The LCM of 5602 and 5597 is associative
LCM of 5597 and 5602 = LCM of 5602 and 5597
Related Least Common Multiples of 5597
Related Least Common Multiples of 5602
Frequently Asked Questions on LCM of 5597 and 5602
1. What is the LCM of 5597 and 5602?
Answer: LCM of 5597 and 5602 is 31354394.
2. 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.
3. What are the Factors of 5602?
Answer: Factors of 5602 are 1, 2, 2801, 5602. There are 4 integers that are factors of 5602. The greatest factor of 5602 is 5602.
4. How to Find the LCM of 5597 and 5602?
Answer:
Least Common Multiple of 5597 and 5602 = 31354394
Step 1: Find the prime factorization of 5597
5597 = 29 x 193
Step 2: Find the prime factorization of 5602
5602 = 2 x 2801
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31354394 = 2 x 29 x 193 x 2801
Step 4: Therefore, the least common multiple of 5597 and 5602 is 31354394.