Least Common Multiple of 8407 and 8415
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8407 and 8415 the smallest integer that is 70744905 that is divisible by both numbers.
Least Common Multiple (LCM) of 8407 and 8415 is 70744905.
LCM(8407,8415) = 70744905
LCM of 8407 and 8415
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8407 and 8415 by Prime method
- Least Common Multiple of 8407 and 8415 with GCF Formula
LCM of 8407 and 8415 is 70744905
Least common multiple can be found by multiplying the highest exponent prime factors of 8407 and 8415. First we will calculate the prime factors of 8407 and 8415.
Prime Factorization of 8407
| 7 | 8407 |
| 1201 | 1201 |
| 1 |
Prime factors of 8407 are 7,1201. Prime factorization of 8407 in exponential form is:
8407 = 71×12011
Prime Factorization of 8415
| 3 | 8415 |
| 3 | 2805 |
| 5 | 935 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 8415 are 3, 5, 11,17. Prime factorization of 8415 in exponential form is:
8415 = 32×51×111×171
Now multiplying the highest exponent prime factors to calculate the LCM of 8407 and 8415.
LCM(8407,8415) = 32×51×71×111×171×12011
LCM(8407,8415) = 70744905
Factors of 8407
List of positive integer factors of 8407 that divides 8407 without a remainder.
1, 7, 1201, 8407
Factors of 8415
List of positive integer factors of 8415 that divides 8415 without a remainder.
1, 3, 5, 9, 11, 15, 17, 33, 45, 51, 55, 85, 99, 153, 165, 187, 255, 495, 561, 765, 935, 1683, 2805, 8415
Least Common Multiple of 8407 and 8415 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8407 and 8415, than apply into the LCM equation.
GCF(8407,8415) = 1
LCM(8407,8415) = ( 8407 × 8415) / 1
LCM(8407,8415) = 70744905 / 1
LCM(8407,8415) = 70744905
Properties of LCM 8407 and 8415
(i) The LCM of 8415 and 8407 is associative
LCM of 8407 and 8415 = LCM of 8415 and 8407
Related Least Common Multiples of 8407
Related Least Common Multiples of 8415
Frequently Asked Questions on LCM of 8407 and 8415
1. What is the LCM of 8407 and 8415?
Answer: LCM of 8407 and 8415 is 70744905.
2. What are the Factors of 8407?
Answer: Factors of 8407 are 1, 7, 1201, 8407. There are 4 integers that are factors of 8407. The greatest factor of 8407 is 8407.
3. What are the Factors of 8415?
Answer: Factors of 8415 are 1, 3, 5, 9, 11, 15, 17, 33, 45, 51, 55, 85, 99, 153, 165, 187, 255, 495, 561, 765, 935, 1683, 2805, 8415. There are 24 integers that are factors of 8415. The greatest factor of 8415 is 8415.
4. How to Find the LCM of 8407 and 8415?
Answer:
Least Common Multiple of 8407 and 8415 = 70744905
Step 1: Find the prime factorization of 8407
8407 = 7 x 1201
Step 2: Find the prime factorization of 8415
8415 = 3 x 3 x 5 x 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70744905 = 3 x 3 x 5 x 7 x 11 x 17 x 1201
Step 4: Therefore, the least common multiple of 8407 and 8415 is 70744905.