Least Common Multiple of 1595 and 1599
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1595 and 1599 the smallest integer that is 2550405 that is divisible by both numbers.
Least Common Multiple (LCM) of 1595 and 1599 is 2550405.
LCM(1595,1599) = 2550405
LCM of 1595 and 1599
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1595 and 1599 by Prime method
- Least Common Multiple of 1595 and 1599 with GCF Formula
LCM of 1595 and 1599 is 2550405
Least common multiple can be found by multiplying the highest exponent prime factors of 1595 and 1599. First we will calculate the prime factors of 1595 and 1599.
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
Prime Factorization of 1599
| 3 | 1599 |
| 13 | 533 |
| 41 | 41 |
| 1 |
Prime factors of 1599 are 3, 13,41. Prime factorization of 1599 in exponential form is:
1599 = 31×131×411
Now multiplying the highest exponent prime factors to calculate the LCM of 1595 and 1599.
LCM(1595,1599) = 31×51×111×131×291×411
LCM(1595,1599) = 2550405
Factors of 1595
List of positive integer factors of 1595 that divides 1595 without a remainder.
1, 5, 11, 29, 55, 145, 319, 1595
Factors of 1599
List of positive integer factors of 1599 that divides 1599 without a remainder.
1, 3, 13, 39, 41, 123, 533, 1599
Least Common Multiple of 1595 and 1599 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1595 and 1599, than apply into the LCM equation.
GCF(1595,1599) = 1
LCM(1595,1599) = ( 1595 × 1599) / 1
LCM(1595,1599) = 2550405 / 1
LCM(1595,1599) = 2550405
Properties of LCM 1595 and 1599
(i) The LCM of 1599 and 1595 is associative
LCM of 1595 and 1599 = LCM of 1599 and 1595
Related Least Common Multiples of 1595
Related Least Common Multiples of 1599
Frequently Asked Questions on LCM of 1595 and 1599
1. What is the LCM of 1595 and 1599?
Answer: LCM of 1595 and 1599 is 2550405.
2. 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.
3. What are the Factors of 1599?
Answer: Factors of 1599 are 1, 3, 13, 39, 41, 123, 533, 1599. There are 8 integers that are factors of 1599. The greatest factor of 1599 is 1599.
4. How to Find the LCM of 1595 and 1599?
Answer:
Least Common Multiple of 1595 and 1599 = 2550405
Step 1: Find the prime factorization of 1595
1595 = 5 x 11 x 29
Step 2: Find the prime factorization of 1599
1599 = 3 x 13 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2550405 = 3 x 5 x 11 x 13 x 29 x 41
Step 4: Therefore, the least common multiple of 1595 and 1599 is 2550405.