Least Common Multiple of 306429 and 306433
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 306429 and 306433 the smallest integer that is 93899957757 that is divisible by both numbers.
Least Common Multiple (LCM) of 306429 and 306433 is 93899957757.
LCM(306429,306433) = 93899957757
LCM of 306429 and 306433
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 306429 and 306433 by Prime method
- Least Common Multiple of 306429 and 306433 with GCF Formula
LCM of 306429 and 306433 is 93899957757
Least common multiple can be found by multiplying the highest exponent prime factors of 306429 and 306433. First we will calculate the prime factors of 306429 and 306433.
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
Prime Factorization of 306433
| 181 | 306433 |
| 1693 | 1693 |
| 1 |
Prime factors of 306433 are 181,1693. Prime factorization of 306433 in exponential form is:
306433 = 1811×16931
Now multiplying the highest exponent prime factors to calculate the LCM of 306429 and 306433.
LCM(306429,306433) = 31×231×1811×16931×44411
LCM(306429,306433) = 93899957757
Factors of 306429
List of positive integer factors of 306429 that divides 306429 without a remainder.
1, 3, 23, 69, 4441, 13323, 102143, 306429
Factors of 306433
List of positive integer factors of 306433 that divides 306433 without a remainder.
1, 181, 1693, 306433
Least Common Multiple of 306429 and 306433 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306429 and 306433, than apply into the LCM equation.
GCF(306429,306433) = 1
LCM(306429,306433) = ( 306429 × 306433) / 1
LCM(306429,306433) = 93899957757 / 1
LCM(306429,306433) = 93899957757
Properties of LCM 306429 and 306433
(i) The LCM of 306433 and 306429 is associative
LCM of 306429 and 306433 = LCM of 306433 and 306429
Related Least Common Multiples of 306429
Related Least Common Multiples of 306433
Frequently Asked Questions on LCM of 306429 and 306433
1. What is the LCM of 306429 and 306433?
Answer: LCM of 306429 and 306433 is 93899957757.
2. 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.
3. What are the Factors of 306433?
Answer: Factors of 306433 are 1, 181, 1693, 306433. There are 4 integers that are factors of 306433. The greatest factor of 306433 is 306433.
4. How to Find the LCM of 306429 and 306433?
Answer:
Least Common Multiple of 306429 and 306433 = 93899957757
Step 1: Find the prime factorization of 306429
306429 = 3 x 23 x 4441
Step 2: Find the prime factorization of 306433
306433 = 181 x 1693
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93899957757 = 3 x 23 x 181 x 1693 x 4441
Step 4: Therefore, the least common multiple of 306429 and 306433 is 93899957757.