Least Common Multiple of 407 and 413
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 413 the smallest integer that is 168091 that is divisible by both numbers.
Least Common Multiple (LCM) of 407 and 413 is 168091.
LCM(407,413) = 168091
LCM of 407 and 413
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 407 and 413 by Prime method
- Least Common Multiple of 407 and 413 with GCF Formula
LCM of 407 and 413 is 168091
Least common multiple can be found by multiplying the highest exponent prime factors of 407 and 413. First we will calculate the prime factors of 407 and 413.
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 413
| 7 | 413 |
| 59 | 59 |
| 1 |
Prime factors of 413 are 7,59. Prime factorization of 413 in exponential form is:
413 = 71×591
Now multiplying the highest exponent prime factors to calculate the LCM of 407 and 413.
LCM(407,413) = 71×111×371×591
LCM(407,413) = 168091
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Factors of 413
List of positive integer factors of 413 that divides 413 without a remainder.
1, 7, 59, 413
Least Common Multiple of 407 and 413 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 413, than apply into the LCM equation.
GCF(407,413) = 1
LCM(407,413) = ( 407 × 413) / 1
LCM(407,413) = 168091 / 1
LCM(407,413) = 168091
Properties of LCM 407 and 413
(i) The LCM of 413 and 407 is associative
LCM of 407 and 413 = LCM of 413 and 407
Related Least Common Multiples of 407
Related Least Common Multiples of 413
Frequently Asked Questions on LCM of 407 and 413
1. What is the LCM of 407 and 413?
Answer: LCM of 407 and 413 is 168091.
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 413?
Answer: Factors of 413 are 1, 7, 59, 413. There are 4 integers that are factors of 413. The greatest factor of 413 is 413.
4. How to Find the LCM of 407 and 413?
Answer:
Least Common Multiple of 407 and 413 = 168091
Step 1: Find the prime factorization of 407
407 = 11 x 37
Step 2: Find the prime factorization of 413
413 = 7 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 168091 = 7 x 11 x 37 x 59
Step 4: Therefore, the least common multiple of 407 and 413 is 168091.