Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8429 and 8433 the smallest integer that is 71081757 that is divisible by both numbers.
Least Common Multiple (LCM) of 8429 and 8433 is 71081757.
LCM(8429,8433) = 71081757
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 8429 and 8433. First we will calculate the prime factors of 8429 and 8433.
Prime Factorization of 8429
8429 | 8429 |
1 |
Prime factors of 8429 are 8429. Prime factorization of 8429 in exponential form is:
8429 = 84291
Prime Factorization of 8433
3 | 8433 |
3 | 2811 |
937 | 937 |
1 |
Prime factors of 8433 are 3,937. Prime factorization of 8433 in exponential form is:
8433 = 32×9371
Now multiplying the highest exponent prime factors to calculate the LCM of 8429 and 8433.
LCM(8429,8433) = 32×9371×84291
LCM(8429,8433) = 71081757
Factors of 8429
List of positive integer factors of 8429 that divides 8429 without a remainder.
1, 8429
Factors of 8433
List of positive integer factors of 8433 that divides 8433 without a remainder.
1, 3, 9, 937, 2811, 8433
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8429 and 8433, than apply into the LCM equation.
GCF(8429,8433) = 1
LCM(8429,8433) = ( 8429 × 8433) / 1
LCM(8429,8433) = 71081757 / 1
LCM(8429,8433) = 71081757
(i) The LCM of 8433 and 8429 is associative
LCM of 8429 and 8433 = LCM of 8433 and 8429
1. What is the LCM of 8429 and 8433?
Answer: LCM of 8429 and 8433 is 71081757.
2. 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.
3. What are the Factors of 8433?
Answer: Factors of 8433 are 1, 3, 9, 937, 2811, 8433. There are 6 integers that are factors of 8433. The greatest factor of 8433 is 8433.
4. How to Find the LCM of 8429 and 8433?
Answer:
Least Common Multiple of 8429 and 8433 = 71081757
Step 1: Find the prime factorization of 8429
8429 = 8429
Step 2: Find the prime factorization of 8433
8433 = 3 x 3 x 937
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 71081757 = 3 x 3 x 937 x 8429
Step 4: Therefore, the least common multiple of 8429 and 8433 is 71081757.