Least Common Multiple of 8401 and 8409
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8401 and 8409 the smallest integer that is 70644009 that is divisible by both numbers.
Least Common Multiple (LCM) of 8401 and 8409 is 70644009.
LCM(8401,8409) = 70644009
LCM of 8401 and 8409
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8401 and 8409 by Prime method
- Least Common Multiple of 8401 and 8409 with GCF Formula
LCM of 8401 and 8409 is 70644009
Least common multiple can be found by multiplying the highest exponent prime factors of 8401 and 8409. First we will calculate the prime factors of 8401 and 8409.
Prime Factorization of 8401
| 31 | 8401 |
| 271 | 271 |
| 1 |
Prime factors of 8401 are 31,271. Prime factorization of 8401 in exponential form is:
8401 = 311×2711
Prime Factorization of 8409
| 3 | 8409 |
| 2803 | 2803 |
| 1 |
Prime factors of 8409 are 3,2803. Prime factorization of 8409 in exponential form is:
8409 = 31×28031
Now multiplying the highest exponent prime factors to calculate the LCM of 8401 and 8409.
LCM(8401,8409) = 31×311×2711×28031
LCM(8401,8409) = 70644009
Factors of 8401
List of positive integer factors of 8401 that divides 8401 without a remainder.
1, 31, 271, 8401
Factors of 8409
List of positive integer factors of 8409 that divides 8409 without a remainder.
1, 3, 2803, 8409
Least Common Multiple of 8401 and 8409 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8401 and 8409, than apply into the LCM equation.
GCF(8401,8409) = 1
LCM(8401,8409) = ( 8401 × 8409) / 1
LCM(8401,8409) = 70644009 / 1
LCM(8401,8409) = 70644009
Properties of LCM 8401 and 8409
(i) The LCM of 8409 and 8401 is associative
LCM of 8401 and 8409 = LCM of 8409 and 8401
Related Least Common Multiples of 8401
Related Least Common Multiples of 8409
Frequently Asked Questions on LCM of 8401 and 8409
1. What is the LCM of 8401 and 8409?
Answer: LCM of 8401 and 8409 is 70644009.
2. What are the Factors of 8401?
Answer: Factors of 8401 are 1, 31, 271, 8401. There are 4 integers that are factors of 8401. The greatest factor of 8401 is 8401.
3. What are the Factors of 8409?
Answer: Factors of 8409 are 1, 3, 2803, 8409. There are 4 integers that are factors of 8409. The greatest factor of 8409 is 8409.
4. How to Find the LCM of 8401 and 8409?
Answer:
Least Common Multiple of 8401 and 8409 = 70644009
Step 1: Find the prime factorization of 8401
8401 = 31 x 271
Step 2: Find the prime factorization of 8409
8409 = 3 x 2803
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70644009 = 3 x 31 x 271 x 2803
Step 4: Therefore, the least common multiple of 8401 and 8409 is 70644009.