Least Common Multiple of 1591 and 1595
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1591 and 1595 the smallest integer that is 2537645 that is divisible by both numbers.
Least Common Multiple (LCM) of 1591 and 1595 is 2537645.
LCM(1591,1595) = 2537645
LCM of 1591 and 1595
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1591 and 1595 by Prime method
- Least Common Multiple of 1591 and 1595 with GCF Formula
LCM of 1591 and 1595 is 2537645
Least common multiple can be found by multiplying the highest exponent prime factors of 1591 and 1595. First we will calculate the prime factors of 1591 and 1595.
Prime Factorization of 1591
| 37 | 1591 |
| 43 | 43 |
| 1 |
Prime factors of 1591 are 37,43. Prime factorization of 1591 in exponential form is:
1591 = 371×431
Prime Factorization of 1595
| 5 | 1595 |
| 11 | 319 |
| 29 | 29 |
| 1 |
Prime factors of 1595 are 5, 11,29. Prime factorization of 1595 in exponential form is:
1595 = 51×111×291
Now multiplying the highest exponent prime factors to calculate the LCM of 1591 and 1595.
LCM(1591,1595) = 51×111×291×371×431
LCM(1591,1595) = 2537645
Factors of 1591
List of positive integer factors of 1591 that divides 1591 without a remainder.
1, 37, 43, 1591
Factors of 1595
List of positive integer factors of 1595 that divides 1595 without a remainder.
1, 5, 11, 29, 55, 145, 319, 1595
Least Common Multiple of 1591 and 1595 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1591 and 1595, than apply into the LCM equation.
GCF(1591,1595) = 1
LCM(1591,1595) = ( 1591 × 1595) / 1
LCM(1591,1595) = 2537645 / 1
LCM(1591,1595) = 2537645
Properties of LCM 1591 and 1595
(i) The LCM of 1595 and 1591 is associative
LCM of 1591 and 1595 = LCM of 1595 and 1591
Related Least Common Multiples of 1591
Related Least Common Multiples of 1595
Frequently Asked Questions on LCM of 1591 and 1595
1. What is the LCM of 1591 and 1595?
Answer: LCM of 1591 and 1595 is 2537645.
2. What are the Factors of 1591?
Answer: Factors of 1591 are 1, 37, 43, 1591. There are 4 integers that are factors of 1591. The greatest factor of 1591 is 1591.
3. What are the Factors of 1595?
Answer: Factors of 1595 are 1, 5, 11, 29, 55, 145, 319, 1595. There are 8 integers that are factors of 1595. The greatest factor of 1595 is 1595.
4. How to Find the LCM of 1591 and 1595?
Answer:
Least Common Multiple of 1591 and 1595 = 2537645
Step 1: Find the prime factorization of 1591
1591 = 37 x 43
Step 2: Find the prime factorization of 1595
1595 = 5 x 11 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2537645 = 5 x 11 x 29 x 37 x 43
Step 4: Therefore, the least common multiple of 1591 and 1595 is 2537645.