Least Common Multiple of 1575 and 1579
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 1579 the smallest integer that is 2486925 that is divisible by both numbers.
Least Common Multiple (LCM) of 1575 and 1579 is 2486925.
LCM(1575,1579) = 2486925
LCM of 1575 and 1579
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1575 and 1579 by Prime method
- Least Common Multiple of 1575 and 1579 with GCF Formula
LCM of 1575 and 1579 is 2486925
Least common multiple can be found by multiplying the highest exponent prime factors of 1575 and 1579. First we will calculate the prime factors of 1575 and 1579.
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 1579
| 1579 | 1579 |
| 1 |
Prime factors of 1579 are 1579. Prime factorization of 1579 in exponential form is:
1579 = 15791
Now multiplying the highest exponent prime factors to calculate the LCM of 1575 and 1579.
LCM(1575,1579) = 32×52×71×15791
LCM(1575,1579) = 2486925
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 1579
List of positive integer factors of 1579 that divides 1579 without a remainder.
1, 1579
Least Common Multiple of 1575 and 1579 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 1579, than apply into the LCM equation.
GCF(1575,1579) = 1
LCM(1575,1579) = ( 1575 × 1579) / 1
LCM(1575,1579) = 2486925 / 1
LCM(1575,1579) = 2486925
Properties of LCM 1575 and 1579
(i) The LCM of 1579 and 1575 is associative
LCM of 1575 and 1579 = LCM of 1579 and 1575
Related Least Common Multiples of 1575
Related Least Common Multiples of 1579
Frequently Asked Questions on LCM of 1575 and 1579
1. What is the LCM of 1575 and 1579?
Answer: LCM of 1575 and 1579 is 2486925.
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 1579?
Answer: Factors of 1579 are 1, 1579. There are 2 integers that are factors of 1579. The greatest factor of 1579 is 1579.
4. How to Find the LCM of 1575 and 1579?
Answer:
Least Common Multiple of 1575 and 1579 = 2486925
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 1579
1579 = 1579
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2486925 = 3 x 3 x 5 x 5 x 7 x 1579
Step 4: Therefore, the least common multiple of 1575 and 1579 is 2486925.