Least Common Multiple of 8435 and 8439
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8435 and 8439 the smallest integer that is 71182965 that is divisible by both numbers.
Least Common Multiple (LCM) of 8435 and 8439 is 71182965.
LCM(8435,8439) = 71182965
LCM of 8435 and 8439
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8435 and 8439 by Prime method
- Least Common Multiple of 8435 and 8439 with GCF Formula
LCM of 8435 and 8439 is 71182965
Least common multiple can be found by multiplying the highest exponent prime factors of 8435 and 8439. First we will calculate the prime factors of 8435 and 8439.
Prime Factorization of 8435
| 5 | 8435 |
| 7 | 1687 |
| 241 | 241 |
| 1 |
Prime factors of 8435 are 5, 7,241. Prime factorization of 8435 in exponential form is:
8435 = 51×71×2411
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
Now multiplying the highest exponent prime factors to calculate the LCM of 8435 and 8439.
LCM(8435,8439) = 31×51×71×291×971×2411
LCM(8435,8439) = 71182965
Factors of 8435
List of positive integer factors of 8435 that divides 8435 without a remainder.
1, 5, 7, 35, 241, 1205, 1687, 8435
Factors of 8439
List of positive integer factors of 8439 that divides 8439 without a remainder.
1, 3, 29, 87, 97, 291, 2813, 8439
Least Common Multiple of 8435 and 8439 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8435 and 8439, than apply into the LCM equation.
GCF(8435,8439) = 1
LCM(8435,8439) = ( 8435 × 8439) / 1
LCM(8435,8439) = 71182965 / 1
LCM(8435,8439) = 71182965
Properties of LCM 8435 and 8439
(i) The LCM of 8439 and 8435 is associative
LCM of 8435 and 8439 = LCM of 8439 and 8435
Related Least Common Multiples of 8435
Related Least Common Multiples of 8439
Frequently Asked Questions on LCM of 8435 and 8439
1. What is the LCM of 8435 and 8439?
Answer: LCM of 8435 and 8439 is 71182965.
2. What are the Factors of 8435?
Answer: Factors of 8435 are 1, 5, 7, 35, 241, 1205, 1687, 8435. There are 8 integers that are factors of 8435. The greatest factor of 8435 is 8435.
3. 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.
4. How to Find the LCM of 8435 and 8439?
Answer:
Least Common Multiple of 8435 and 8439 = 71182965
Step 1: Find the prime factorization of 8435
8435 = 5 x 7 x 241
Step 2: Find the prime factorization of 8439
8439 = 3 x 29 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71182965 = 3 x 5 x 7 x 29 x 97 x 241
Step 4: Therefore, the least common multiple of 8435 and 8439 is 71182965.