Least Common Multiple of 1575 and 1583
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1575 and 1583 the smallest integer that is 2493225 that is divisible by both numbers.
Least Common Multiple (LCM) of 1575 and 1583 is 2493225.
LCM(1575,1583) = 2493225
LCM of 1575 and 1583
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1575 and 1583 by Prime method
- Least Common Multiple of 1575 and 1583 with GCF Formula
LCM of 1575 and 1583 is 2493225
Least common multiple can be found by multiplying the highest exponent prime factors of 1575 and 1583. First we will calculate the prime factors of 1575 and 1583.
Prime Factorization of 1575
| 3 | 1575 |
| 3 | 525 |
| 5 | 175 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 1575 are 3, 5,7. Prime factorization of 1575 in exponential form is:
1575 = 32×52×71
Prime Factorization of 1583
| 1583 | 1583 |
| 1 |
Prime factors of 1583 are 1583. Prime factorization of 1583 in exponential form is:
1583 = 15831
Now multiplying the highest exponent prime factors to calculate the LCM of 1575 and 1583.
LCM(1575,1583) = 32×52×71×15831
LCM(1575,1583) = 2493225
Factors of 1575
List of positive integer factors of 1575 that divides 1575 without a remainder.
1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575
Factors of 1583
List of positive integer factors of 1583 that divides 1583 without a remainder.
1, 1583
Least Common Multiple of 1575 and 1583 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1575 and 1583, than apply into the LCM equation.
GCF(1575,1583) = 1
LCM(1575,1583) = ( 1575 × 1583) / 1
LCM(1575,1583) = 2493225 / 1
LCM(1575,1583) = 2493225
Properties of LCM 1575 and 1583
(i) The LCM of 1583 and 1575 is associative
LCM of 1575 and 1583 = LCM of 1583 and 1575
Related Least Common Multiples of 1575
Related Least Common Multiples of 1583
Frequently Asked Questions on LCM of 1575 and 1583
1. What is the LCM of 1575 and 1583?
Answer: LCM of 1575 and 1583 is 2493225.
2. What are the Factors of 1575?
Answer: Factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575. There are 18 integers that are factors of 1575. The greatest factor of 1575 is 1575.
3. What are the Factors of 1583?
Answer: Factors of 1583 are 1, 1583. There are 2 integers that are factors of 1583. The greatest factor of 1583 is 1583.
4. How to Find the LCM of 1575 and 1583?
Answer:
Least Common Multiple of 1575 and 1583 = 2493225
Step 1: Find the prime factorization of 1575
1575 = 3 x 3 x 5 x 5 x 7
Step 2: Find the prime factorization of 1583
1583 = 1583
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2493225 = 3 x 3 x 5 x 5 x 7 x 1583
Step 4: Therefore, the least common multiple of 1575 and 1583 is 2493225.