Least Common Multiple of 7565 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 7565 and 7571 the smallest integer that is 57274615 that is divisible by both numbers.
Least Common Multiple (LCM) of 7565 and 7571 is 57274615.
LCM(7565,7571) = 57274615
LCM of 7565 and 7571
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7565 and 7571 by Prime method
- Least Common Multiple of 7565 and 7571 with GCF Formula
LCM of 7565 and 7571 is 57274615
Least common multiple can be found by multiplying the highest exponent prime factors of 7565 and 7571. First we will calculate the prime factors of 7565 and 7571.
Prime Factorization of 7565
| 5 | 7565 |
| 17 | 1513 |
| 89 | 89 |
| 1 |
Prime factors of 7565 are 5, 17,89. Prime factorization of 7565 in exponential form is:
7565 = 51×171×891
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 7565 and 7571.
LCM(7565,7571) = 51×171×671×891×1131
LCM(7565,7571) = 57274615
Factors of 7565
List of positive integer factors of 7565 that divides 7565 without a remainder.
1, 5, 17, 85, 89, 445, 1513, 7565
Factors of 7571
List of positive integer factors of 7571 that divides 7571 without a remainder.
1, 67, 113, 7571
Least Common Multiple of 7565 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 7565 and 7571, than apply into the LCM equation.
GCF(7565,7571) = 1
LCM(7565,7571) = ( 7565 × 7571) / 1
LCM(7565,7571) = 57274615 / 1
LCM(7565,7571) = 57274615
Properties of LCM 7565 and 7571
(i) The LCM of 7571 and 7565 is associative
LCM of 7565 and 7571 = LCM of 7571 and 7565
Related Least Common Multiples of 7565
Related Least Common Multiples of 7571
Frequently Asked Questions on LCM of 7565 and 7571
1. What is the LCM of 7565 and 7571?
Answer: LCM of 7565 and 7571 is 57274615.
2. What are the Factors of 7565?
Answer: Factors of 7565 are 1, 5, 17, 85, 89, 445, 1513, 7565. There are 8 integers that are factors of 7565. The greatest factor of 7565 is 7565.
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 7565 and 7571?
Answer:
Least Common Multiple of 7565 and 7571 = 57274615
Step 1: Find the prime factorization of 7565
7565 = 5 x 17 x 89
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 = 57274615 = 5 x 17 x 67 x 89 x 113
Step 4: Therefore, the least common multiple of 7565 and 7571 is 57274615.