Least Common Multiple of 2429 and 2436
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2429 and 2436 the smallest integer that is 845292 that is divisible by both numbers.
Least Common Multiple (LCM) of 2429 and 2436 is 845292.
LCM(2429,2436) = 845292
LCM of 2429 and 2436
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2429 and 2436 by Prime method
- Least Common Multiple of 2429 and 2436 with GCF Formula
LCM of 2429 and 2436 is 845292
Least common multiple can be found by multiplying the highest exponent prime factors of 2429 and 2436. First we will calculate the prime factors of 2429 and 2436.
Prime Factorization of 2429
| 7 | 2429 |
| 347 | 347 |
| 1 |
Prime factors of 2429 are 7,347. Prime factorization of 2429 in exponential form is:
2429 = 71×3471
Prime Factorization of 2436
| 2 | 2436 |
| 2 | 1218 |
| 3 | 609 |
| 7 | 203 |
| 29 | 29 |
| 1 |
Prime factors of 2436 are 2, 3, 7,29. Prime factorization of 2436 in exponential form is:
2436 = 22×31×71×291
Now multiplying the highest exponent prime factors to calculate the LCM of 2429 and 2436.
LCM(2429,2436) = 22×31×71×291×3471
LCM(2429,2436) = 845292
Factors of 2429
List of positive integer factors of 2429 that divides 2429 without a remainder.
1, 7, 347, 2429
Factors of 2436
List of positive integer factors of 2436 that divides 2436 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436
Least Common Multiple of 2429 and 2436 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2429 and 2436, than apply into the LCM equation.
GCF(2429,2436) = 7
LCM(2429,2436) = ( 2429 × 2436) / 7
LCM(2429,2436) = 5917044 / 7
LCM(2429,2436) = 845292
Properties of LCM 2429 and 2436
(i) The LCM of 2436 and 2429 is associative
LCM of 2429 and 2436 = LCM of 2436 and 2429
Related Least Common Multiples of 2429
Related Least Common Multiples of 2436
Frequently Asked Questions on LCM of 2429 and 2436
1. What is the LCM of 2429 and 2436?
Answer: LCM of 2429 and 2436 is 845292.
2. What are the Factors of 2429?
Answer: Factors of 2429 are 1, 7, 347, 2429. There are 4 integers that are factors of 2429. The greatest factor of 2429 is 2429.
3. What are the Factors of 2436?
Answer: Factors of 2436 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 29, 42, 58, 84, 87, 116, 174, 203, 348, 406, 609, 812, 1218, 2436. There are 24 integers that are factors of 2436. The greatest factor of 2436 is 2436.
4. How to Find the LCM of 2429 and 2436?
Answer:
Least Common Multiple of 2429 and 2436 = 845292
Step 1: Find the prime factorization of 2429
2429 = 7 x 347
Step 2: Find the prime factorization of 2436
2436 = 2 x 2 x 3 x 7 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 845292 = 2 x 2 x 3 x 7 x 29 x 347
Step 4: Therefore, the least common multiple of 2429 and 2436 is 845292.