Least Common Multiple of 5595 and 5603
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5595 and 5603 the smallest integer that is 31348785 that is divisible by both numbers.
Least Common Multiple (LCM) of 5595 and 5603 is 31348785.
LCM(5595,5603) = 31348785
LCM of 5595 and 5603
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5595 and 5603 by Prime method
- Least Common Multiple of 5595 and 5603 with GCF Formula
LCM of 5595 and 5603 is 31348785
Least common multiple can be found by multiplying the highest exponent prime factors of 5595 and 5603. First we will calculate the prime factors of 5595 and 5603.
Prime Factorization of 5595
| 3 | 5595 |
| 5 | 1865 |
| 373 | 373 |
| 1 |
Prime factors of 5595 are 3, 5,373. Prime factorization of 5595 in exponential form is:
5595 = 31×51×3731
Prime Factorization of 5603
| 13 | 5603 |
| 431 | 431 |
| 1 |
Prime factors of 5603 are 13,431. Prime factorization of 5603 in exponential form is:
5603 = 131×4311
Now multiplying the highest exponent prime factors to calculate the LCM of 5595 and 5603.
LCM(5595,5603) = 31×51×131×3731×4311
LCM(5595,5603) = 31348785
Factors of 5595
List of positive integer factors of 5595 that divides 5595 without a remainder.
1, 3, 5, 15, 373, 1119, 1865, 5595
Factors of 5603
List of positive integer factors of 5603 that divides 5603 without a remainder.
1, 13, 431, 5603
Least Common Multiple of 5595 and 5603 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5595 and 5603, than apply into the LCM equation.
GCF(5595,5603) = 1
LCM(5595,5603) = ( 5595 × 5603) / 1
LCM(5595,5603) = 31348785 / 1
LCM(5595,5603) = 31348785
Properties of LCM 5595 and 5603
(i) The LCM of 5603 and 5595 is associative
LCM of 5595 and 5603 = LCM of 5603 and 5595
Related Least Common Multiples of 5595
Related Least Common Multiples of 5603
Frequently Asked Questions on LCM of 5595 and 5603
1. What is the LCM of 5595 and 5603?
Answer: LCM of 5595 and 5603 is 31348785.
2. What are the Factors of 5595?
Answer: Factors of 5595 are 1, 3, 5, 15, 373, 1119, 1865, 5595. There are 8 integers that are factors of 5595. The greatest factor of 5595 is 5595.
3. What are the Factors of 5603?
Answer: Factors of 5603 are 1, 13, 431, 5603. There are 4 integers that are factors of 5603. The greatest factor of 5603 is 5603.
4. How to Find the LCM of 5595 and 5603?
Answer:
Least Common Multiple of 5595 and 5603 = 31348785
Step 1: Find the prime factorization of 5595
5595 = 3 x 5 x 373
Step 2: Find the prime factorization of 5603
5603 = 13 x 431
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31348785 = 3 x 5 x 13 x 373 x 431
Step 4: Therefore, the least common multiple of 5595 and 5603 is 31348785.