Least Common Multiple of 15405 and 15410
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15405 and 15410 the smallest integer that is 47478210 that is divisible by both numbers.
Least Common Multiple (LCM) of 15405 and 15410 is 47478210.
LCM(15405,15410) = 47478210
LCM of 15405 and 15410
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15405 and 15410 by Prime method
- Least Common Multiple of 15405 and 15410 with GCF Formula
LCM of 15405 and 15410 is 47478210
Least common multiple can be found by multiplying the highest exponent prime factors of 15405 and 15410. First we will calculate the prime factors of 15405 and 15410.
Prime Factorization of 15405
| 3 | 15405 |
| 5 | 5135 |
| 13 | 1027 |
| 79 | 79 |
| 1 |
Prime factors of 15405 are 3, 5, 13,79. Prime factorization of 15405 in exponential form is:
15405 = 31×51×131×791
Prime Factorization of 15410
| 2 | 15410 |
| 5 | 7705 |
| 23 | 1541 |
| 67 | 67 |
| 1 |
Prime factors of 15410 are 2, 5, 23,67. Prime factorization of 15410 in exponential form is:
15410 = 21×51×231×671
Now multiplying the highest exponent prime factors to calculate the LCM of 15405 and 15410.
LCM(15405,15410) = 21×31×51×131×231×671×791
LCM(15405,15410) = 47478210
Factors of 15405
List of positive integer factors of 15405 that divides 15405 without a remainder.
1, 3, 5, 13, 15, 39, 65, 79, 195, 237, 395, 1027, 1185, 3081, 5135, 15405
Factors of 15410
List of positive integer factors of 15410 that divides 15410 without a remainder.
1, 2, 5, 10, 23, 46, 67, 115, 134, 230, 335, 670, 1541, 3082, 7705, 15410
Least Common Multiple of 15405 and 15410 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15405 and 15410, than apply into the LCM equation.
GCF(15405,15410) = 5
LCM(15405,15410) = ( 15405 × 15410) / 5
LCM(15405,15410) = 237391050 / 5
LCM(15405,15410) = 47478210
Properties of LCM 15405 and 15410
(i) The LCM of 15410 and 15405 is associative
LCM of 15405 and 15410 = LCM of 15410 and 15405
Related Least Common Multiples of 15405
Related Least Common Multiples of 15410
Frequently Asked Questions on LCM of 15405 and 15410
1. What is the LCM of 15405 and 15410?
Answer: LCM of 15405 and 15410 is 47478210.
2. What are the Factors of 15405?
Answer: Factors of 15405 are 1, 3, 5, 13, 15, 39, 65, 79, 195, 237, 395, 1027, 1185, 3081, 5135, 15405. There are 16 integers that are factors of 15405. The greatest factor of 15405 is 15405.
3. What are the Factors of 15410?
Answer: Factors of 15410 are 1, 2, 5, 10, 23, 46, 67, 115, 134, 230, 335, 670, 1541, 3082, 7705, 15410. There are 16 integers that are factors of 15410. The greatest factor of 15410 is 15410.
4. How to Find the LCM of 15405 and 15410?
Answer:
Least Common Multiple of 15405 and 15410 = 47478210
Step 1: Find the prime factorization of 15405
15405 = 3 x 5 x 13 x 79
Step 2: Find the prime factorization of 15410
15410 = 2 x 5 x 23 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 47478210 = 2 x 3 x 5 x 13 x 23 x 67 x 79
Step 4: Therefore, the least common multiple of 15405 and 15410 is 47478210.