Least Common Multiple of 308441 and 308449
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 308449 the smallest integer that is 95138318009 that is divisible by both numbers.
Least Common Multiple (LCM) of 308441 and 308449 is 95138318009.
LCM(308441,308449) = 95138318009
LCM of 308441 and 308449
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 308441 and 308449 by Prime method
- Least Common Multiple of 308441 and 308449 with GCF Formula
LCM of 308441 and 308449 is 95138318009
Least common multiple can be found by multiplying the highest exponent prime factors of 308441 and 308449. First we will calculate the prime factors of 308441 and 308449.
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 308449
| 167 | 308449 |
| 1847 | 1847 |
| 1 |
Prime factors of 308449 are 167,1847. Prime factorization of 308449 in exponential form is:
308449 = 1671×18471
Now multiplying the highest exponent prime factors to calculate the LCM of 308441 and 308449.
LCM(308441,308449) = 71×1391×1671×3171×18471
LCM(308441,308449) = 95138318009
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 308449
List of positive integer factors of 308449 that divides 308449 without a remainder.
1, 167, 1847, 308449
Least Common Multiple of 308441 and 308449 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 308449, than apply into the LCM equation.
GCF(308441,308449) = 1
LCM(308441,308449) = ( 308441 × 308449) / 1
LCM(308441,308449) = 95138318009 / 1
LCM(308441,308449) = 95138318009
Properties of LCM 308441 and 308449
(i) The LCM of 308449 and 308441 is associative
LCM of 308441 and 308449 = LCM of 308449 and 308441
Related Least Common Multiples of 308441
Related Least Common Multiples of 308449
Frequently Asked Questions on LCM of 308441 and 308449
1. What is the LCM of 308441 and 308449?
Answer: LCM of 308441 and 308449 is 95138318009.
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 308449?
Answer: Factors of 308449 are 1, 167, 1847, 308449. There are 4 integers that are factors of 308449. The greatest factor of 308449 is 308449.
4. How to Find the LCM of 308441 and 308449?
Answer:
Least Common Multiple of 308441 and 308449 = 95138318009
Step 1: Find the prime factorization of 308441
308441 = 7 x 139 x 317
Step 2: Find the prime factorization of 308449
308449 = 167 x 1847
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95138318009 = 7 x 139 x 167 x 317 x 1847
Step 4: Therefore, the least common multiple of 308441 and 308449 is 95138318009.