Least Common Multiple of 9401 and 9407
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9401 and 9407 the smallest integer that is 88435207 that is divisible by both numbers.
Least Common Multiple (LCM) of 9401 and 9407 is 88435207.
LCM(9401,9407) = 88435207
LCM of 9401 and 9407
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9401 and 9407 by Prime method
- Least Common Multiple of 9401 and 9407 with GCF Formula
LCM of 9401 and 9407 is 88435207
Least common multiple can be found by multiplying the highest exponent prime factors of 9401 and 9407. First we will calculate the prime factors of 9401 and 9407.
Prime Factorization of 9401
| 7 | 9401 |
| 17 | 1343 |
| 79 | 79 |
| 1 |
Prime factors of 9401 are 7, 17,79. Prime factorization of 9401 in exponential form is:
9401 = 71×171×791
Prime Factorization of 9407
| 23 | 9407 |
| 409 | 409 |
| 1 |
Prime factors of 9407 are 23,409. Prime factorization of 9407 in exponential form is:
9407 = 231×4091
Now multiplying the highest exponent prime factors to calculate the LCM of 9401 and 9407.
LCM(9401,9407) = 71×171×231×791×4091
LCM(9401,9407) = 88435207
Factors of 9401
List of positive integer factors of 9401 that divides 9401 without a remainder.
1, 7, 17, 79, 119, 553, 1343, 9401
Factors of 9407
List of positive integer factors of 9407 that divides 9407 without a remainder.
1, 23, 409, 9407
Least Common Multiple of 9401 and 9407 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9401 and 9407, than apply into the LCM equation.
GCF(9401,9407) = 1
LCM(9401,9407) = ( 9401 × 9407) / 1
LCM(9401,9407) = 88435207 / 1
LCM(9401,9407) = 88435207
Properties of LCM 9401 and 9407
(i) The LCM of 9407 and 9401 is associative
LCM of 9401 and 9407 = LCM of 9407 and 9401
Related Least Common Multiples of 9401
Related Least Common Multiples of 9407
Frequently Asked Questions on LCM of 9401 and 9407
1. What is the LCM of 9401 and 9407?
Answer: LCM of 9401 and 9407 is 88435207.
2. What are the Factors of 9401?
Answer: Factors of 9401 are 1, 7, 17, 79, 119, 553, 1343, 9401. There are 8 integers that are factors of 9401. The greatest factor of 9401 is 9401.
3. What are the Factors of 9407?
Answer: Factors of 9407 are 1, 23, 409, 9407. There are 4 integers that are factors of 9407. The greatest factor of 9407 is 9407.
4. How to Find the LCM of 9401 and 9407?
Answer:
Least Common Multiple of 9401 and 9407 = 88435207
Step 1: Find the prime factorization of 9401
9401 = 7 x 17 x 79
Step 2: Find the prime factorization of 9407
9407 = 23 x 409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 88435207 = 7 x 17 x 23 x 79 x 409
Step 4: Therefore, the least common multiple of 9401 and 9407 is 88435207.