Least Common Multiple of 407 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 407 and 415 the smallest integer that is 168905 that is divisible by both numbers.
Least Common Multiple (LCM) of 407 and 415 is 168905.
LCM(407,415) = 168905
LCM of 407 and 415
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 407 and 415 by Prime method
- Least Common Multiple of 407 and 415 with GCF Formula
LCM of 407 and 415 is 168905
Least common multiple can be found by multiplying the highest exponent prime factors of 407 and 415. First we will calculate the prime factors of 407 and 415.
Prime Factorization of 407
| 11 | 407 |
| 37 | 37 |
| 1 |
Prime factors of 407 are 11,37. Prime factorization of 407 in exponential form is:
407 = 111×371
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 407 and 415.
LCM(407,415) = 51×111×371×831
LCM(407,415) = 168905
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1, 5, 83, 415
Least Common Multiple of 407 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 407 and 415, than apply into the LCM equation.
GCF(407,415) = 1
LCM(407,415) = ( 407 × 415) / 1
LCM(407,415) = 168905 / 1
LCM(407,415) = 168905
Properties of LCM 407 and 415
(i) The LCM of 415 and 407 is associative
LCM of 407 and 415 = LCM of 415 and 407
Related Least Common Multiples of 407
Related Least Common Multiples of 415
Frequently Asked Questions on LCM of 407 and 415
1. What is the LCM of 407 and 415?
Answer: LCM of 407 and 415 is 168905.
2. What are the Factors of 407?
Answer: Factors of 407 are 1, 11, 37, 407. There are 4 integers that are factors of 407. The greatest factor of 407 is 407.
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 407 and 415?
Answer:
Least Common Multiple of 407 and 415 = 168905
Step 1: Find the prime factorization of 407
407 = 11 x 37
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 = 168905 = 5 x 11 x 37 x 83
Step 4: Therefore, the least common multiple of 407 and 415 is 168905.
