Least Common Multiple of 1590 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 1590 and 1595 the smallest integer that is 507210 that is divisible by both numbers.
Least Common Multiple (LCM) of 1590 and 1595 is 507210.
LCM(1590,1595) = 507210
LCM of 1590 and 1595
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1590 and 1595 by Prime method
- Least Common Multiple of 1590 and 1595 with GCF Formula
LCM of 1590 and 1595 is 507210
Least common multiple can be found by multiplying the highest exponent prime factors of 1590 and 1595. First we will calculate the prime factors of 1590 and 1595.
Prime Factorization of 1590
| 2 | 1590 |
| 3 | 795 |
| 5 | 265 |
| 53 | 53 |
| 1 |
Prime factors of 1590 are 2, 3, 5,53. Prime factorization of 1590 in exponential form is:
1590 = 21×31×51×531
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 1590 and 1595.
LCM(1590,1595) = 21×31×51×111×291×531
LCM(1590,1595) = 507210
Factors of 1590
List of positive integer factors of 1590 that divides 1590 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590
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 1590 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 1590 and 1595, than apply into the LCM equation.
GCF(1590,1595) = 5
LCM(1590,1595) = ( 1590 × 1595) / 5
LCM(1590,1595) = 2536050 / 5
LCM(1590,1595) = 507210
Properties of LCM 1590 and 1595
(i) The LCM of 1595 and 1590 is associative
LCM of 1590 and 1595 = LCM of 1595 and 1590
Related Least Common Multiples of 1590
Related Least Common Multiples of 1595
Frequently Asked Questions on LCM of 1590 and 1595
1. What is the LCM of 1590 and 1595?
Answer: LCM of 1590 and 1595 is 507210.
2. What are the Factors of 1590?
Answer: Factors of 1590 are 1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590. There are 16 integers that are factors of 1590. The greatest factor of 1590 is 1590.
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 1590 and 1595?
Answer:
Least Common Multiple of 1590 and 1595 = 507210
Step 1: Find the prime factorization of 1590
1590 = 2 x 3 x 5 x 53
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 = 507210 = 2 x 3 x 5 x 11 x 29 x 53
Step 4: Therefore, the least common multiple of 1590 and 1595 is 507210.