Least Common Multiple of 3515 and 3523
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3515 and 3523 the smallest integer that is 12383345 that is divisible by both numbers.
Least Common Multiple (LCM) of 3515 and 3523 is 12383345.
LCM(3515,3523) = 12383345
LCM of 3515 and 3523
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3515 and 3523 by Prime method
- Least Common Multiple of 3515 and 3523 with GCF Formula
LCM of 3515 and 3523 is 12383345
Least common multiple can be found by multiplying the highest exponent prime factors of 3515 and 3523. First we will calculate the prime factors of 3515 and 3523.
Prime Factorization of 3515
| 5 | 3515 |
| 19 | 703 |
| 37 | 37 |
| 1 |
Prime factors of 3515 are 5, 19,37. Prime factorization of 3515 in exponential form is:
3515 = 51×191×371
Prime Factorization of 3523
| 13 | 3523 |
| 271 | 271 |
| 1 |
Prime factors of 3523 are 13,271. Prime factorization of 3523 in exponential form is:
3523 = 131×2711
Now multiplying the highest exponent prime factors to calculate the LCM of 3515 and 3523.
LCM(3515,3523) = 51×131×191×371×2711
LCM(3515,3523) = 12383345
Factors of 3515
List of positive integer factors of 3515 that divides 3515 without a remainder.
1, 5, 19, 37, 95, 185, 703, 3515
Factors of 3523
List of positive integer factors of 3523 that divides 3523 without a remainder.
1, 13, 271, 3523
Least Common Multiple of 3515 and 3523 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3515 and 3523, than apply into the LCM equation.
GCF(3515,3523) = 1
LCM(3515,3523) = ( 3515 × 3523) / 1
LCM(3515,3523) = 12383345 / 1
LCM(3515,3523) = 12383345
Properties of LCM 3515 and 3523
(i) The LCM of 3523 and 3515 is associative
LCM of 3515 and 3523 = LCM of 3523 and 3515
Related Least Common Multiples of 3515
Related Least Common Multiples of 3523
Frequently Asked Questions on LCM of 3515 and 3523
1. What is the LCM of 3515 and 3523?
Answer: LCM of 3515 and 3523 is 12383345.
2. What are the Factors of 3515?
Answer: Factors of 3515 are 1, 5, 19, 37, 95, 185, 703, 3515. There are 8 integers that are factors of 3515. The greatest factor of 3515 is 3515.
3. What are the Factors of 3523?
Answer: Factors of 3523 are 1, 13, 271, 3523. There are 4 integers that are factors of 3523. The greatest factor of 3523 is 3523.
4. How to Find the LCM of 3515 and 3523?
Answer:
Least Common Multiple of 3515 and 3523 = 12383345
Step 1: Find the prime factorization of 3515
3515 = 5 x 19 x 37
Step 2: Find the prime factorization of 3523
3523 = 13 x 271
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12383345 = 5 x 13 x 19 x 37 x 271
Step 4: Therefore, the least common multiple of 3515 and 3523 is 12383345.