Least Common Multiple of 2485 and 2493
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2485 and 2493 the smallest integer that is 6195105 that is divisible by both numbers.
Least Common Multiple (LCM) of 2485 and 2493 is 6195105.
LCM(2485,2493) = 6195105
LCM of 2485 and 2493
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2485 and 2493 by Prime method
- Least Common Multiple of 2485 and 2493 with GCF Formula
LCM of 2485 and 2493 is 6195105
Least common multiple can be found by multiplying the highest exponent prime factors of 2485 and 2493. First we will calculate the prime factors of 2485 and 2493.
Prime Factorization of 2485
| 5 | 2485 |
| 7 | 497 |
| 71 | 71 |
| 1 |
Prime factors of 2485 are 5, 7,71. Prime factorization of 2485 in exponential form is:
2485 = 51×71×711
Prime Factorization of 2493
| 3 | 2493 |
| 3 | 831 |
| 277 | 277 |
| 1 |
Prime factors of 2493 are 3,277. Prime factorization of 2493 in exponential form is:
2493 = 32×2771
Now multiplying the highest exponent prime factors to calculate the LCM of 2485 and 2493.
LCM(2485,2493) = 32×51×71×711×2771
LCM(2485,2493) = 6195105
Factors of 2485
List of positive integer factors of 2485 that divides 2485 without a remainder.
1, 5, 7, 35, 71, 355, 497, 2485
Factors of 2493
List of positive integer factors of 2493 that divides 2493 without a remainder.
1, 3, 9, 277, 831, 2493
Least Common Multiple of 2485 and 2493 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2485 and 2493, than apply into the LCM equation.
GCF(2485,2493) = 1
LCM(2485,2493) = ( 2485 × 2493) / 1
LCM(2485,2493) = 6195105 / 1
LCM(2485,2493) = 6195105
Properties of LCM 2485 and 2493
(i) The LCM of 2493 and 2485 is associative
LCM of 2485 and 2493 = LCM of 2493 and 2485
Related Least Common Multiples of 2485
Related Least Common Multiples of 2493
Frequently Asked Questions on LCM of 2485 and 2493
1. What is the LCM of 2485 and 2493?
Answer: LCM of 2485 and 2493 is 6195105.
2. What are the Factors of 2485?
Answer: Factors of 2485 are 1, 5, 7, 35, 71, 355, 497, 2485. There are 8 integers that are factors of 2485. The greatest factor of 2485 is 2485.
3. What are the Factors of 2493?
Answer: Factors of 2493 are 1, 3, 9, 277, 831, 2493. There are 6 integers that are factors of 2493. The greatest factor of 2493 is 2493.
4. How to Find the LCM of 2485 and 2493?
Answer:
Least Common Multiple of 2485 and 2493 = 6195105
Step 1: Find the prime factorization of 2485
2485 = 5 x 7 x 71
Step 2: Find the prime factorization of 2493
2493 = 3 x 3 x 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6195105 = 3 x 3 x 5 x 7 x 71 x 277
Step 4: Therefore, the least common multiple of 2485 and 2493 is 6195105.