Least Common Multiple of 410 and 415
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 410 and 415 the smallest integer that is 34030 that is divisible by both numbers.
Least Common Multiple (LCM) of 410 and 415 is 34030.
LCM(410,415) = 34030
LCM of 410 and 415
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 410 and 415 by Prime method
- Least Common Multiple of 410 and 415 with GCF Formula
LCM of 410 and 415 is 34030
Least common multiple can be found by multiplying the highest exponent prime factors of 410 and 415. First we will calculate the prime factors of 410 and 415.
Prime Factorization of 410
| 2 | 410 |
| 5 | 205 |
| 41 | 41 |
| 1 |
Prime factors of 410 are 2, 5,41. Prime factorization of 410 in exponential form is:
410 = 21×51×411
Prime Factorization of 415
| 5 | 415 |
| 83 | 83 |
| 1 |
Prime factors of 415 are 5,83. Prime factorization of 415 in exponential form is:
415 = 51×831
Now multiplying the highest exponent prime factors to calculate the LCM of 410 and 415.
LCM(410,415) = 21×51×411×831
LCM(410,415) = 34030
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1, 5, 83, 415
Least Common Multiple of 410 and 415 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 410 and 415, than apply into the LCM equation.
GCF(410,415) = 5
LCM(410,415) = ( 410 × 415) / 5
LCM(410,415) = 170150 / 5
LCM(410,415) = 34030
Properties of LCM 410 and 415
(i) The LCM of 415 and 410 is associative
LCM of 410 and 415 = LCM of 415 and 410
Related Least Common Multiples of 410
Related Least Common Multiples of 415
Frequently Asked Questions on LCM of 410 and 415
1. What is the LCM of 410 and 415?
Answer: LCM of 410 and 415 is 34030.
2. What are the Factors of 410?
Answer: Factors of 410 are 1, 2, 5, 10, 41, 82, 205, 410. There are 8 integers that are factors of 410. The greatest factor of 410 is 410.
3. What are the Factors of 415?
Answer: Factors of 415 are 1, 5, 83, 415. There are 4 integers that are factors of 415. The greatest factor of 415 is 415.
4. How to Find the LCM of 410 and 415?
Answer:
Least Common Multiple of 410 and 415 = 34030
Step 1: Find the prime factorization of 410
410 = 2 x 5 x 41
Step 2: Find the prime factorization of 415
415 = 5 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34030 = 2 x 5 x 41 x 83
Step 4: Therefore, the least common multiple of 410 and 415 is 34030.