Least Common Multiple of 7567 and 7571
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7567 and 7571 the smallest integer that is 57289757 that is divisible by both numbers.
Least Common Multiple (LCM) of 7567 and 7571 is 57289757.
LCM(7567,7571) = 57289757
LCM of 7567 and 7571
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7567 and 7571 by Prime method
- Least Common Multiple of 7567 and 7571 with GCF Formula
LCM of 7567 and 7571 is 57289757
Least common multiple can be found by multiplying the highest exponent prime factors of 7567 and 7571. First we will calculate the prime factors of 7567 and 7571.
Prime Factorization of 7567
| 7 | 7567 |
| 23 | 1081 |
| 47 | 47 |
| 1 |
Prime factors of 7567 are 7, 23,47. Prime factorization of 7567 in exponential form is:
7567 = 71×231×471
Prime Factorization of 7571
| 67 | 7571 |
| 113 | 113 |
| 1 |
Prime factors of 7571 are 67,113. Prime factorization of 7571 in exponential form is:
7571 = 671×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 7567 and 7571.
LCM(7567,7571) = 71×231×471×671×1131
LCM(7567,7571) = 57289757
Factors of 7567
List of positive integer factors of 7567 that divides 7567 without a remainder.
1, 7, 23, 47, 161, 329, 1081, 7567
Factors of 7571
List of positive integer factors of 7571 that divides 7571 without a remainder.
1, 67, 113, 7571
Least Common Multiple of 7567 and 7571 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7567 and 7571, than apply into the LCM equation.
GCF(7567,7571) = 1
LCM(7567,7571) = ( 7567 × 7571) / 1
LCM(7567,7571) = 57289757 / 1
LCM(7567,7571) = 57289757
Properties of LCM 7567 and 7571
(i) The LCM of 7571 and 7567 is associative
LCM of 7567 and 7571 = LCM of 7571 and 7567
Related Least Common Multiples of 7567
Related Least Common Multiples of 7571
Frequently Asked Questions on LCM of 7567 and 7571
1. What is the LCM of 7567 and 7571?
Answer: LCM of 7567 and 7571 is 57289757.
2. What are the Factors of 7567?
Answer: Factors of 7567 are 1, 7, 23, 47, 161, 329, 1081, 7567. There are 8 integers that are factors of 7567. The greatest factor of 7567 is 7567.
3. What are the Factors of 7571?
Answer: Factors of 7571 are 1, 67, 113, 7571. There are 4 integers that are factors of 7571. The greatest factor of 7571 is 7571.
4. How to Find the LCM of 7567 and 7571?
Answer:
Least Common Multiple of 7567 and 7571 = 57289757
Step 1: Find the prime factorization of 7567
7567 = 7 x 23 x 47
Step 2: Find the prime factorization of 7571
7571 = 67 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57289757 = 7 x 23 x 47 x 67 x 113
Step 4: Therefore, the least common multiple of 7567 and 7571 is 57289757.