Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 306423 and 306431 the smallest integer that is 93897506313 that is divisible by both numbers.
Least Common Multiple (LCM) of 306423 and 306431 is 93897506313.
LCM(306423,306431) = 93897506313
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 306423 and 306431. First we will calculate the prime factors of 306423 and 306431.
Prime Factorization of 306423
3 | 306423 |
3 | 102141 |
3 | 34047 |
3 | 11349 |
3 | 3783 |
13 | 1261 |
97 | 97 |
1 |
Prime factors of 306423 are 3, 13,97. Prime factorization of 306423 in exponential form is:
306423 = 35×131×971
Prime Factorization of 306431
306431 | 306431 |
1 |
Prime factors of 306431 are 306431. Prime factorization of 306431 in exponential form is:
306431 = 3064311
Now multiplying the highest exponent prime factors to calculate the LCM of 306423 and 306431.
LCM(306423,306431) = 35×131×971×3064311
LCM(306423,306431) = 93897506313
Factors of 306423
List of positive integer factors of 306423 that divides 306423 without a remainder.
1, 3, 9, 13, 27, 39, 81, 97, 117, 243, 291, 351, 873, 1053, 1261, 2619, 3159, 3783, 7857, 11349, 23571, 34047, 102141, 306423
Factors of 306431
List of positive integer factors of 306431 that divides 306431 without a remainder.
1, 306431
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 306423 and 306431, than apply into the LCM equation.
GCF(306423,306431) = 1
LCM(306423,306431) = ( 306423 × 306431) / 1
LCM(306423,306431) = 93897506313 / 1
LCM(306423,306431) = 93897506313
(i) The LCM of 306431 and 306423 is associative
LCM of 306423 and 306431 = LCM of 306431 and 306423
1. What is the LCM of 306423 and 306431?
Answer: LCM of 306423 and 306431 is 93897506313.
2. What are the Factors of 306423?
Answer: Factors of 306423 are 1, 3, 9, 13, 27, 39, 81, 97, 117, 243, 291, 351, 873, 1053, 1261, 2619, 3159, 3783, 7857, 11349, 23571, 34047, 102141, 306423. There are 24 integers that are factors of 306423. The greatest factor of 306423 is 306423.
3. What are the Factors of 306431?
Answer: Factors of 306431 are 1, 306431. There are 2 integers that are factors of 306431. The greatest factor of 306431 is 306431.
4. How to Find the LCM of 306423 and 306431?
Answer:
Least Common Multiple of 306423 and 306431 = 93897506313
Step 1: Find the prime factorization of 306423
306423 = 3 x 3 x 3 x 3 x 3 x 13 x 97
Step 2: Find the prime factorization of 306431
306431 = 306431
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 93897506313 = 3 x 3 x 3 x 3 x 3 x 13 x 97 x 306431
Step 4: Therefore, the least common multiple of 306423 and 306431 is 93897506313.