Least Common Multiple of 7429 and 7433
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7429 and 7433 the smallest integer that is 55219757 that is divisible by both numbers.
Least Common Multiple (LCM) of 7429 and 7433 is 55219757.
LCM(7429,7433) = 55219757
LCM of 7429 and 7433
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7429 and 7433 by Prime method
- Least Common Multiple of 7429 and 7433 with GCF Formula
LCM of 7429 and 7433 is 55219757
Least common multiple can be found by multiplying the highest exponent prime factors of 7429 and 7433. First we will calculate the prime factors of 7429 and 7433.
Prime Factorization of 7429
| 17 | 7429 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 7429 are 17, 19,23. Prime factorization of 7429 in exponential form is:
7429 = 171×191×231
Prime Factorization of 7433
| 7433 | 7433 |
| 1 |
Prime factors of 7433 are 7433. Prime factorization of 7433 in exponential form is:
7433 = 74331
Now multiplying the highest exponent prime factors to calculate the LCM of 7429 and 7433.
LCM(7429,7433) = 171×191×231×74331
LCM(7429,7433) = 55219757
Factors of 7429
List of positive integer factors of 7429 that divides 7429 without a remainder.
1, 17, 19, 23, 323, 391, 437, 7429
Factors of 7433
List of positive integer factors of 7433 that divides 7433 without a remainder.
1, 7433
Least Common Multiple of 7429 and 7433 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7429 and 7433, than apply into the LCM equation.
GCF(7429,7433) = 1
LCM(7429,7433) = ( 7429 × 7433) / 1
LCM(7429,7433) = 55219757 / 1
LCM(7429,7433) = 55219757
Properties of LCM 7429 and 7433
(i) The LCM of 7433 and 7429 is associative
LCM of 7429 and 7433 = LCM of 7433 and 7429
Related Least Common Multiples of 7429
Related Least Common Multiples of 7433
Frequently Asked Questions on LCM of 7429 and 7433
1. What is the LCM of 7429 and 7433?
Answer: LCM of 7429 and 7433 is 55219757.
2. What are the Factors of 7429?
Answer: Factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429. There are 8 integers that are factors of 7429. The greatest factor of 7429 is 7429.
3. What are the Factors of 7433?
Answer: Factors of 7433 are 1, 7433. There are 2 integers that are factors of 7433. The greatest factor of 7433 is 7433.
4. How to Find the LCM of 7429 and 7433?
Answer:
Least Common Multiple of 7429 and 7433 = 55219757
Step 1: Find the prime factorization of 7429
7429 = 17 x 19 x 23
Step 2: Find the prime factorization of 7433
7433 = 7433
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 55219757 = 17 x 19 x 23 x 7433
Step 4: Therefore, the least common multiple of 7429 and 7433 is 55219757.