Least Common Multiple of 308441 and 308447
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 308441 and 308447 the smallest integer that is 95137701127 that is divisible by both numbers.
Least Common Multiple (LCM) of 308441 and 308447 is 95137701127.
LCM(308441,308447) = 95137701127
LCM of 308441 and 308447
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 308441 and 308447 by Prime method
- Least Common Multiple of 308441 and 308447 with GCF Formula
LCM of 308441 and 308447 is 95137701127
Least common multiple can be found by multiplying the highest exponent prime factors of 308441 and 308447. First we will calculate the prime factors of 308441 and 308447.
Prime Factorization of 308441
| 7 | 308441 |
| 139 | 44063 |
| 317 | 317 |
| 1 |
Prime factors of 308441 are 7, 139,317. Prime factorization of 308441 in exponential form is:
308441 = 71×1391×3171
Prime Factorization of 308447
| 308447 | 308447 |
| 1 |
Prime factors of 308447 are 308447. Prime factorization of 308447 in exponential form is:
308447 = 3084471
Now multiplying the highest exponent prime factors to calculate the LCM of 308441 and 308447.
LCM(308441,308447) = 71×1391×3171×3084471
LCM(308441,308447) = 95137701127
Factors of 308441
List of positive integer factors of 308441 that divides 308441 without a remainder.
1, 7, 139, 317, 973, 2219, 44063, 308441
Factors of 308447
List of positive integer factors of 308447 that divides 308447 without a remainder.
1, 308447
Least Common Multiple of 308441 and 308447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 308441 and 308447, than apply into the LCM equation.
GCF(308441,308447) = 1
LCM(308441,308447) = ( 308441 × 308447) / 1
LCM(308441,308447) = 95137701127 / 1
LCM(308441,308447) = 95137701127
Properties of LCM 308441 and 308447
(i) The LCM of 308447 and 308441 is associative
LCM of 308441 and 308447 = LCM of 308447 and 308441
Related Least Common Multiples of 308441
Related Least Common Multiples of 308447
Frequently Asked Questions on LCM of 308441 and 308447
1. What is the LCM of 308441 and 308447?
Answer: LCM of 308441 and 308447 is 95137701127.
2. What are the Factors of 308441?
Answer: Factors of 308441 are 1, 7, 139, 317, 973, 2219, 44063, 308441. There are 8 integers that are factors of 308441. The greatest factor of 308441 is 308441.
3. What are the Factors of 308447?
Answer: Factors of 308447 are 1, 308447. There are 2 integers that are factors of 308447. The greatest factor of 308447 is 308447.
4. How to Find the LCM of 308441 and 308447?
Answer:
Least Common Multiple of 308441 and 308447 = 95137701127
Step 1: Find the prime factorization of 308441
308441 = 7 x 139 x 317
Step 2: Find the prime factorization of 308447
308447 = 308447
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95137701127 = 7 x 139 x 317 x 308447
Step 4: Therefore, the least common multiple of 308441 and 308447 is 95137701127.