Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8425 and 8429 the smallest integer that is 71014325 that is divisible by both numbers.
Least Common Multiple (LCM) of 8425 and 8429 is 71014325.
LCM(8425,8429) = 71014325
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 8425 and 8429. First we will calculate the prime factors of 8425 and 8429.
Prime Factorization of 8425
5 | 8425 |
5 | 1685 |
337 | 337 |
1 |
Prime factors of 8425 are 5,337. Prime factorization of 8425 in exponential form is:
8425 = 52×3371
Prime Factorization of 8429
8429 | 8429 |
1 |
Prime factors of 8429 are 8429. Prime factorization of 8429 in exponential form is:
8429 = 84291
Now multiplying the highest exponent prime factors to calculate the LCM of 8425 and 8429.
LCM(8425,8429) = 52×3371×84291
LCM(8425,8429) = 71014325
Factors of 8425
List of positive integer factors of 8425 that divides 8425 without a remainder.
1, 5, 25, 337, 1685, 8425
Factors of 8429
List of positive integer factors of 8429 that divides 8429 without a remainder.
1, 8429
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8425 and 8429, than apply into the LCM equation.
GCF(8425,8429) = 1
LCM(8425,8429) = ( 8425 × 8429) / 1
LCM(8425,8429) = 71014325 / 1
LCM(8425,8429) = 71014325
(i) The LCM of 8429 and 8425 is associative
LCM of 8425 and 8429 = LCM of 8429 and 8425
1. What is the LCM of 8425 and 8429?
Answer: LCM of 8425 and 8429 is 71014325.
2. What are the Factors of 8425?
Answer: Factors of 8425 are 1, 5, 25, 337, 1685, 8425. There are 6 integers that are factors of 8425. The greatest factor of 8425 is 8425.
3. What are the Factors of 8429?
Answer: Factors of 8429 are 1, 8429. There are 2 integers that are factors of 8429. The greatest factor of 8429 is 8429.
4. How to Find the LCM of 8425 and 8429?
Answer:
Least Common Multiple of 8425 and 8429 = 71014325
Step 1: Find the prime factorization of 8425
8425 = 5 x 5 x 337
Step 2: Find the prime factorization of 8429
8429 = 8429
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71014325 = 5 x 5 x 337 x 8429
Step 4: Therefore, the least common multiple of 8425 and 8429 is 71014325.