Least Common Multiple of 1575 and 1577
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 1577 the smallest integer that is 2483775 that is divisible by both numbers.
Least Common Multiple (LCM) of 1575 and 1577 is 2483775.
LCM(1575,1577) = 2483775
LCM of 1575 and 1577
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1575 and 1577 by Prime method
- Least Common Multiple of 1575 and 1577 with GCF Formula
LCM of 1575 and 1577 is 2483775
Least common multiple can be found by multiplying the highest exponent prime factors of 1575 and 1577. First we will calculate the prime factors of 1575 and 1577.
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 1577
| 19 | 1577 |
| 83 | 83 |
| 1 |
Prime factors of 1577 are 19,83. Prime factorization of 1577 in exponential form is:
1577 = 191×831
Now multiplying the highest exponent prime factors to calculate the LCM of 1575 and 1577.
LCM(1575,1577) = 32×52×71×191×831
LCM(1575,1577) = 2483775
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 1577
List of positive integer factors of 1577 that divides 1577 without a remainder.
1, 19, 83, 1577
Least Common Multiple of 1575 and 1577 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 1577, than apply into the LCM equation.
GCF(1575,1577) = 1
LCM(1575,1577) = ( 1575 × 1577) / 1
LCM(1575,1577) = 2483775 / 1
LCM(1575,1577) = 2483775
Properties of LCM 1575 and 1577
(i) The LCM of 1577 and 1575 is associative
LCM of 1575 and 1577 = LCM of 1577 and 1575
Related Least Common Multiples of 1575
Related Least Common Multiples of 1577
Frequently Asked Questions on LCM of 1575 and 1577
1. What is the LCM of 1575 and 1577?
Answer: LCM of 1575 and 1577 is 2483775.
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 1577?
Answer: Factors of 1577 are 1, 19, 83, 1577. There are 4 integers that are factors of 1577. The greatest factor of 1577 is 1577.
4. How to Find the LCM of 1575 and 1577?
Answer:
Least Common Multiple of 1575 and 1577 = 2483775
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 1577
1577 = 19 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2483775 = 3 x 3 x 5 x 5 x 7 x 19 x 83
Step 4: Therefore, the least common multiple of 1575 and 1577 is 2483775.