Least Common Multiple of 429 and 433
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 429 and 433 the smallest integer that is 185757 that is divisible by both numbers.
Least Common Multiple (LCM) of 429 and 433 is 185757.
LCM(429,433) = 185757
LCM of 429 and 433
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 429 and 433 by Prime method
- Least Common Multiple of 429 and 433 with GCF Formula
LCM of 429 and 433 is 185757
Least common multiple can be found by multiplying the highest exponent prime factors of 429 and 433. First we will calculate the prime factors of 429 and 433.
Prime Factorization of 429
| 3 | 429 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 429 are 3, 11,13. Prime factorization of 429 in exponential form is:
429 = 31×111×131
Prime Factorization of 433
| 433 | 433 |
| 1 |
Prime factors of 433 are 433. Prime factorization of 433 in exponential form is:
433 = 4331
Now multiplying the highest exponent prime factors to calculate the LCM of 429 and 433.
LCM(429,433) = 31×111×131×4331
LCM(429,433) = 185757
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1, 433
Least Common Multiple of 429 and 433 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 429 and 433, than apply into the LCM equation.
GCF(429,433) = 1
LCM(429,433) = ( 429 × 433) / 1
LCM(429,433) = 185757 / 1
LCM(429,433) = 185757
Properties of LCM 429 and 433
(i) The LCM of 433 and 429 is associative
LCM of 429 and 433 = LCM of 433 and 429
Related Least Common Multiples of 429
Related Least Common Multiples of 433
Frequently Asked Questions on LCM of 429 and 433
1. What is the LCM of 429 and 433?
Answer: LCM of 429 and 433 is 185757.
2. What are the Factors of 429?
Answer: Factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429. There are 8 integers that are factors of 429. The greatest factor of 429 is 429.
3. What are the Factors of 433?
Answer: Factors of 433 are 1, 433. There are 2 integers that are factors of 433. The greatest factor of 433 is 433.
4. How to Find the LCM of 429 and 433?
Answer:
Least Common Multiple of 429 and 433 = 185757
Step 1: Find the prime factorization of 429
429 = 3 x 11 x 13
Step 2: Find the prime factorization of 433
433 = 433
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 185757 = 3 x 11 x 13 x 433
Step 4: Therefore, the least common multiple of 429 and 433 is 185757.
