Least Common Multiple of 2590 and 2597
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2590 and 2597 the smallest integer that is 960890 that is divisible by both numbers.
Least Common Multiple (LCM) of 2590 and 2597 is 960890.
LCM(2590,2597) = 960890
LCM of 2590 and 2597
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2590 and 2597 by Prime method
- Least Common Multiple of 2590 and 2597 with GCF Formula
LCM of 2590 and 2597 is 960890
Least common multiple can be found by multiplying the highest exponent prime factors of 2590 and 2597. First we will calculate the prime factors of 2590 and 2597.
Prime Factorization of 2590
| 2 | 2590 |
| 5 | 1295 |
| 7 | 259 |
| 37 | 37 |
| 1 |
Prime factors of 2590 are 2, 5, 7,37. Prime factorization of 2590 in exponential form is:
2590 = 21×51×71×371
Prime Factorization of 2597
| 7 | 2597 |
| 7 | 371 |
| 53 | 53 |
| 1 |
Prime factors of 2597 are 7,53. Prime factorization of 2597 in exponential form is:
2597 = 72×531
Now multiplying the highest exponent prime factors to calculate the LCM of 2590 and 2597.
LCM(2590,2597) = 21×51×72×371×531
LCM(2590,2597) = 960890
Factors of 2590
List of positive integer factors of 2590 that divides 2590 without a remainder.
1, 2, 5, 7, 10, 14, 35, 37, 70, 74, 185, 259, 370, 518, 1295, 2590
Factors of 2597
List of positive integer factors of 2597 that divides 2597 without a remainder.
1, 7, 49, 53, 371, 2597
Least Common Multiple of 2590 and 2597 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2590 and 2597, than apply into the LCM equation.
GCF(2590,2597) = 7
LCM(2590,2597) = ( 2590 × 2597) / 7
LCM(2590,2597) = 6726230 / 7
LCM(2590,2597) = 960890
Properties of LCM 2590 and 2597
(i) The LCM of 2597 and 2590 is associative
LCM of 2590 and 2597 = LCM of 2597 and 2590
Related Least Common Multiples of 2590
Related Least Common Multiples of 2597
Frequently Asked Questions on LCM of 2590 and 2597
1. What is the LCM of 2590 and 2597?
Answer: LCM of 2590 and 2597 is 960890.
2. What are the Factors of 2590?
Answer: Factors of 2590 are 1, 2, 5, 7, 10, 14, 35, 37, 70, 74, 185, 259, 370, 518, 1295, 2590. There are 16 integers that are factors of 2590. The greatest factor of 2590 is 2590.
3. What are the Factors of 2597?
Answer: Factors of 2597 are 1, 7, 49, 53, 371, 2597. There are 6 integers that are factors of 2597. The greatest factor of 2597 is 2597.
4. How to Find the LCM of 2590 and 2597?
Answer:
Least Common Multiple of 2590 and 2597 = 960890
Step 1: Find the prime factorization of 2590
2590 = 2 x 5 x 7 x 37
Step 2: Find the prime factorization of 2597
2597 = 7 x 7 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 960890 = 2 x 5 x 7 x 7 x 37 x 53
Step 4: Therefore, the least common multiple of 2590 and 2597 is 960890.