Least Common Multiple of 411 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 411 and 415 the smallest integer that is 170565 that is divisible by both numbers.
Least Common Multiple (LCM) of 411 and 415 is 170565.
LCM(411,415) = 170565
LCM of 411 and 415
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 411 and 415 by Prime method
- Least Common Multiple of 411 and 415 with GCF Formula
LCM of 411 and 415 is 170565
Least common multiple can be found by multiplying the highest exponent prime factors of 411 and 415. First we will calculate the prime factors of 411 and 415.
Prime Factorization of 411
| 3 | 411 |
| 137 | 137 |
| 1 |
Prime factors of 411 are 3,137. Prime factorization of 411 in exponential form is:
411 = 31×1371
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 411 and 415.
LCM(411,415) = 31×51×831×1371
LCM(411,415) = 170565
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1, 5, 83, 415
Least Common Multiple of 411 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 411 and 415, than apply into the LCM equation.
GCF(411,415) = 1
LCM(411,415) = ( 411 × 415) / 1
LCM(411,415) = 170565 / 1
LCM(411,415) = 170565
Properties of LCM 411 and 415
(i) The LCM of 415 and 411 is associative
LCM of 411 and 415 = LCM of 415 and 411
Related Least Common Multiples of 411
Related Least Common Multiples of 415
Frequently Asked Questions on LCM of 411 and 415
1. What is the LCM of 411 and 415?
Answer: LCM of 411 and 415 is 170565.
2. What are the Factors of 411?
Answer: Factors of 411 are 1, 3, 137, 411. There are 4 integers that are factors of 411. The greatest factor of 411 is 411.
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 411 and 415?
Answer:
Least Common Multiple of 411 and 415 = 170565
Step 1: Find the prime factorization of 411
411 = 3 x 137
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 = 170565 = 3 x 5 x 83 x 137
Step 4: Therefore, the least common multiple of 411 and 415 is 170565.
