Least Common Multiple of 306425 and 306429
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 306425 and 306429 the smallest integer that is 93897506325 that is divisible by both numbers.
Least Common Multiple (LCM) of 306425 and 306429 is 93897506325.
LCM(306425,306429) = 93897506325
LCM of 306425 and 306429
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 306425 and 306429 by Prime method
- Least Common Multiple of 306425 and 306429 with GCF Formula
LCM of 306425 and 306429 is 93897506325
Least common multiple can be found by multiplying the highest exponent prime factors of 306425 and 306429. First we will calculate the prime factors of 306425 and 306429.
Prime Factorization of 306425
| 5 | 306425 |
| 5 | 61285 |
| 7 | 12257 |
| 17 | 1751 |
| 103 | 103 |
| 1 |
Prime factors of 306425 are 5, 7, 17,103. Prime factorization of 306425 in exponential form is:
306425 = 52×71×171×1031
Prime Factorization of 306429
| 3 | 306429 |
| 23 | 102143 |
| 4441 | 4441 |
| 1 |
Prime factors of 306429 are 3, 23,4441. Prime factorization of 306429 in exponential form is:
306429 = 31×231×44411
Now multiplying the highest exponent prime factors to calculate the LCM of 306425 and 306429.
LCM(306425,306429) = 31×52×71×171×231×1031×44411
LCM(306425,306429) = 93897506325
Factors of 306425
List of positive integer factors of 306425 that divides 306425 without a remainder.
1, 5, 7, 17, 25, 35, 85, 103, 119, 175, 425, 515, 595, 721, 1751, 2575, 2975, 3605, 8755, 12257, 18025, 43775, 61285, 306425
Factors of 306429
List of positive integer factors of 306429 that divides 306429 without a remainder.
1, 3, 23, 69, 4441, 13323, 102143, 306429
Least Common Multiple of 306425 and 306429 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306425 and 306429, than apply into the LCM equation.
GCF(306425,306429) = 1
LCM(306425,306429) = ( 306425 × 306429) / 1
LCM(306425,306429) = 93897506325 / 1
LCM(306425,306429) = 93897506325
Properties of LCM 306425 and 306429
(i) The LCM of 306429 and 306425 is associative
LCM of 306425 and 306429 = LCM of 306429 and 306425
Related Least Common Multiples of 306425
Related Least Common Multiples of 306429
Frequently Asked Questions on LCM of 306425 and 306429
1. What is the LCM of 306425 and 306429?
Answer: LCM of 306425 and 306429 is 93897506325.
2. What are the Factors of 306425?
Answer: Factors of 306425 are 1, 5, 7, 17, 25, 35, 85, 103, 119, 175, 425, 515, 595, 721, 1751, 2575, 2975, 3605, 8755, 12257, 18025, 43775, 61285, 306425. There are 24 integers that are factors of 306425. The greatest factor of 306425 is 306425.
3. What are the Factors of 306429?
Answer: Factors of 306429 are 1, 3, 23, 69, 4441, 13323, 102143, 306429. There are 8 integers that are factors of 306429. The greatest factor of 306429 is 306429.
4. How to Find the LCM of 306425 and 306429?
Answer:
Least Common Multiple of 306425 and 306429 = 93897506325
Step 1: Find the prime factorization of 306425
306425 = 5 x 5 x 7 x 17 x 103
Step 2: Find the prime factorization of 306429
306429 = 3 x 23 x 4441
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93897506325 = 3 x 5 x 5 x 7 x 17 x 23 x 103 x 4441
Step 4: Therefore, the least common multiple of 306425 and 306429 is 93897506325.