Least Common Multiple of 9571 and 9577
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9571 and 9577 the smallest integer that is 91661467 that is divisible by both numbers.
Least Common Multiple (LCM) of 9571 and 9577 is 91661467.
LCM(9571,9577) = 91661467
LCM of 9571 and 9577
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9571 and 9577 by Prime method
- Least Common Multiple of 9571 and 9577 with GCF Formula
LCM of 9571 and 9577 is 91661467
Least common multiple can be found by multiplying the highest exponent prime factors of 9571 and 9577. First we will calculate the prime factors of 9571 and 9577.
Prime Factorization of 9571
| 17 | 9571 |
| 563 | 563 |
| 1 |
Prime factors of 9571 are 17,563. Prime factorization of 9571 in exponential form is:
9571 = 171×5631
Prime Factorization of 9577
| 61 | 9577 |
| 157 | 157 |
| 1 |
Prime factors of 9577 are 61,157. Prime factorization of 9577 in exponential form is:
9577 = 611×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 9571 and 9577.
LCM(9571,9577) = 171×611×1571×5631
LCM(9571,9577) = 91661467
Factors of 9571
List of positive integer factors of 9571 that divides 9571 without a remainder.
1, 17, 563, 9571
Factors of 9577
List of positive integer factors of 9577 that divides 9577 without a remainder.
1, 61, 157, 9577
Least Common Multiple of 9571 and 9577 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9571 and 9577, than apply into the LCM equation.
GCF(9571,9577) = 1
LCM(9571,9577) = ( 9571 × 9577) / 1
LCM(9571,9577) = 91661467 / 1
LCM(9571,9577) = 91661467
Properties of LCM 9571 and 9577
(i) The LCM of 9577 and 9571 is associative
LCM of 9571 and 9577 = LCM of 9577 and 9571
Related Least Common Multiples of 9571
Related Least Common Multiples of 9577
Frequently Asked Questions on LCM of 9571 and 9577
1. What is the LCM of 9571 and 9577?
Answer: LCM of 9571 and 9577 is 91661467.
2. What are the Factors of 9571?
Answer: Factors of 9571 are 1, 17, 563, 9571. There are 4 integers that are factors of 9571. The greatest factor of 9571 is 9571.
3. What are the Factors of 9577?
Answer: Factors of 9577 are 1, 61, 157, 9577. There are 4 integers that are factors of 9577. The greatest factor of 9577 is 9577.
4. How to Find the LCM of 9571 and 9577?
Answer:
Least Common Multiple of 9571 and 9577 = 91661467
Step 1: Find the prime factorization of 9571
9571 = 17 x 563
Step 2: Find the prime factorization of 9577
9577 = 61 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 91661467 = 17 x 61 x 157 x 563
Step 4: Therefore, the least common multiple of 9571 and 9577 is 91661467.