Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7585 and 7591 the smallest integer that is 57577735 that is divisible by both numbers.
Least Common Multiple (LCM) of 7585 and 7591 is 57577735.
LCM(7585,7591) = 57577735
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 7585 and 7591. First we will calculate the prime factors of 7585 and 7591.
Prime Factorization of 7585
5 | 7585 |
37 | 1517 |
41 | 41 |
1 |
Prime factors of 7585 are 5, 37,41. Prime factorization of 7585 in exponential form is:
7585 = 51×371×411
Prime Factorization of 7591
7591 | 7591 |
1 |
Prime factors of 7591 are 7591. Prime factorization of 7591 in exponential form is:
7591 = 75911
Now multiplying the highest exponent prime factors to calculate the LCM of 7585 and 7591.
LCM(7585,7591) = 51×371×411×75911
LCM(7585,7591) = 57577735
Factors of 7585
List of positive integer factors of 7585 that divides 7585 without a remainder.
1, 5, 37, 41, 185, 205, 1517, 7585
Factors of 7591
List of positive integer factors of 7591 that divides 7591 without a remainder.
1, 7591
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7585 and 7591, than apply into the LCM equation.
GCF(7585,7591) = 1
LCM(7585,7591) = ( 7585 × 7591) / 1
LCM(7585,7591) = 57577735 / 1
LCM(7585,7591) = 57577735
(i) The LCM of 7591 and 7585 is associative
LCM of 7585 and 7591 = LCM of 7591 and 7585
1. What is the LCM of 7585 and 7591?
Answer: LCM of 7585 and 7591 is 57577735.
2. What are the Factors of 7585?
Answer: Factors of 7585 are 1, 5, 37, 41, 185, 205, 1517, 7585. There are 8 integers that are factors of 7585. The greatest factor of 7585 is 7585.
3. What are the Factors of 7591?
Answer: Factors of 7591 are 1, 7591. There are 2 integers that are factors of 7591. The greatest factor of 7591 is 7591.
4. How to Find the LCM of 7585 and 7591?
Answer:
Least Common Multiple of 7585 and 7591 = 57577735
Step 1: Find the prime factorization of 7585
7585 = 5 x 37 x 41
Step 2: Find the prime factorization of 7591
7591 = 7591
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57577735 = 5 x 37 x 41 x 7591
Step 4: Therefore, the least common multiple of 7585 and 7591 is 57577735.