Least Common Multiple of 7571 and 7579
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7571 and 7579 the smallest integer that is 57380609 that is divisible by both numbers.
Least Common Multiple (LCM) of 7571 and 7579 is 57380609.
LCM(7571,7579) = 57380609
LCM of 7571 and 7579
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7571 and 7579 by Prime method
- Least Common Multiple of 7571 and 7579 with GCF Formula
LCM of 7571 and 7579 is 57380609
Least common multiple can be found by multiplying the highest exponent prime factors of 7571 and 7579. First we will calculate the prime factors of 7571 and 7579.
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
Prime Factorization of 7579
| 11 | 7579 |
| 13 | 689 |
| 53 | 53 |
| 1 |
Prime factors of 7579 are 11, 13,53. Prime factorization of 7579 in exponential form is:
7579 = 111×131×531
Now multiplying the highest exponent prime factors to calculate the LCM of 7571 and 7579.
LCM(7571,7579) = 111×131×531×671×1131
LCM(7571,7579) = 57380609
Factors of 7571
List of positive integer factors of 7571 that divides 7571 without a remainder.
1, 67, 113, 7571
Factors of 7579
List of positive integer factors of 7579 that divides 7579 without a remainder.
1, 11, 13, 53, 143, 583, 689, 7579
Least Common Multiple of 7571 and 7579 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7571 and 7579, than apply into the LCM equation.
GCF(7571,7579) = 1
LCM(7571,7579) = ( 7571 × 7579) / 1
LCM(7571,7579) = 57380609 / 1
LCM(7571,7579) = 57380609
Properties of LCM 7571 and 7579
(i) The LCM of 7579 and 7571 is associative
LCM of 7571 and 7579 = LCM of 7579 and 7571
Related Least Common Multiples of 7571
Related Least Common Multiples of 7579
Frequently Asked Questions on LCM of 7571 and 7579
1. What is the LCM of 7571 and 7579?
Answer: LCM of 7571 and 7579 is 57380609.
2. 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.
3. What are the Factors of 7579?
Answer: Factors of 7579 are 1, 11, 13, 53, 143, 583, 689, 7579. There are 8 integers that are factors of 7579. The greatest factor of 7579 is 7579.
4. How to Find the LCM of 7571 and 7579?
Answer:
Least Common Multiple of 7571 and 7579 = 57380609
Step 1: Find the prime factorization of 7571
7571 = 67 x 113
Step 2: Find the prime factorization of 7579
7579 = 11 x 13 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57380609 = 11 x 13 x 53 x 67 x 113
Step 4: Therefore, the least common multiple of 7571 and 7579 is 57380609.