Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7591 and 7595 the smallest integer that is 57653645 that is divisible by both numbers.
Least Common Multiple (LCM) of 7591 and 7595 is 57653645.
LCM(7591,7595) = 57653645
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 7591 and 7595. First we will calculate the prime factors of 7591 and 7595.
Prime Factorization of 7591
7591 | 7591 |
1 |
Prime factors of 7591 are 7591. Prime factorization of 7591 in exponential form is:
7591 = 75911
Prime Factorization of 7595
5 | 7595 |
7 | 1519 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 7595 are 5, 7,31. Prime factorization of 7595 in exponential form is:
7595 = 51×72×311
Now multiplying the highest exponent prime factors to calculate the LCM of 7591 and 7595.
LCM(7591,7595) = 51×72×311×75911
LCM(7591,7595) = 57653645
Factors of 7591
List of positive integer factors of 7591 that divides 7591 without a remainder.
1, 7591
Factors of 7595
List of positive integer factors of 7595 that divides 7595 without a remainder.
1, 5, 7, 31, 35, 49, 155, 217, 245, 1085, 1519, 7595
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7591 and 7595, than apply into the LCM equation.
GCF(7591,7595) = 1
LCM(7591,7595) = ( 7591 × 7595) / 1
LCM(7591,7595) = 57653645 / 1
LCM(7591,7595) = 57653645
(i) The LCM of 7595 and 7591 is associative
LCM of 7591 and 7595 = LCM of 7595 and 7591
1. What is the LCM of 7591 and 7595?
Answer: LCM of 7591 and 7595 is 57653645.
2. 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.
3. What are the Factors of 7595?
Answer: Factors of 7595 are 1, 5, 7, 31, 35, 49, 155, 217, 245, 1085, 1519, 7595. There are 12 integers that are factors of 7595. The greatest factor of 7595 is 7595.
4. How to Find the LCM of 7591 and 7595?
Answer:
Least Common Multiple of 7591 and 7595 = 57653645
Step 1: Find the prime factorization of 7591
7591 = 7591
Step 2: Find the prime factorization of 7595
7595 = 5 x 7 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57653645 = 5 x 7 x 7 x 31 x 7591
Step 4: Therefore, the least common multiple of 7591 and 7595 is 57653645.