Least Common Multiple of 8439 and 8444
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8439 and 8444 the smallest integer that is 71258916 that is divisible by both numbers.
Least Common Multiple (LCM) of 8439 and 8444 is 71258916.
LCM(8439,8444) = 71258916
LCM of 8439 and 8444
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8439 and 8444 by Prime method
- Least Common Multiple of 8439 and 8444 with GCF Formula
LCM of 8439 and 8444 is 71258916
Least common multiple can be found by multiplying the highest exponent prime factors of 8439 and 8444. First we will calculate the prime factors of 8439 and 8444.
Prime Factorization of 8439
| 3 | 8439 |
| 29 | 2813 |
| 97 | 97 |
| 1 |
Prime factors of 8439 are 3, 29,97. Prime factorization of 8439 in exponential form is:
8439 = 31×291×971
Prime Factorization of 8444
| 2 | 8444 |
| 2 | 4222 |
| 2111 | 2111 |
| 1 |
Prime factors of 8444 are 2,2111. Prime factorization of 8444 in exponential form is:
8444 = 22×21111
Now multiplying the highest exponent prime factors to calculate the LCM of 8439 and 8444.
LCM(8439,8444) = 22×31×291×971×21111
LCM(8439,8444) = 71258916
Factors of 8439
List of positive integer factors of 8439 that divides 8439 without a remainder.
1, 3, 29, 87, 97, 291, 2813, 8439
Factors of 8444
List of positive integer factors of 8444 that divides 8444 without a remainder.
1, 2, 4, 2111, 4222, 8444
Least Common Multiple of 8439 and 8444 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8439 and 8444, than apply into the LCM equation.
GCF(8439,8444) = 1
LCM(8439,8444) = ( 8439 × 8444) / 1
LCM(8439,8444) = 71258916 / 1
LCM(8439,8444) = 71258916
Properties of LCM 8439 and 8444
(i) The LCM of 8444 and 8439 is associative
LCM of 8439 and 8444 = LCM of 8444 and 8439
Related Least Common Multiples of 8439
Related Least Common Multiples of 8444
Frequently Asked Questions on LCM of 8439 and 8444
1. What is the LCM of 8439 and 8444?
Answer: LCM of 8439 and 8444 is 71258916.
2. What are the Factors of 8439?
Answer: Factors of 8439 are 1, 3, 29, 87, 97, 291, 2813, 8439. There are 8 integers that are factors of 8439. The greatest factor of 8439 is 8439.
3. What are the Factors of 8444?
Answer: Factors of 8444 are 1, 2, 4, 2111, 4222, 8444. There are 6 integers that are factors of 8444. The greatest factor of 8444 is 8444.
4. How to Find the LCM of 8439 and 8444?
Answer:
Least Common Multiple of 8439 and 8444 = 71258916
Step 1: Find the prime factorization of 8439
8439 = 3 x 29 x 97
Step 2: Find the prime factorization of 8444
8444 = 2 x 2 x 2111
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71258916 = 2 x 2 x 3 x 29 x 97 x 2111
Step 4: Therefore, the least common multiple of 8439 and 8444 is 71258916.