Least Common Multiple of 307445 and 307449
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 307445 and 307449 the smallest integer that is 94523657805 that is divisible by both numbers.
Least Common Multiple (LCM) of 307445 and 307449 is 94523657805.
LCM(307445,307449) = 94523657805
LCM of 307445 and 307449
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 307445 and 307449 by Prime method
- Least Common Multiple of 307445 and 307449 with GCF Formula
LCM of 307445 and 307449 is 94523657805
Least common multiple can be found by multiplying the highest exponent prime factors of 307445 and 307449. First we will calculate the prime factors of 307445 and 307449.
Prime Factorization of 307445
| 5 | 307445 |
| 17 | 61489 |
| 3617 | 3617 |
| 1 |
Prime factors of 307445 are 5, 17,3617. Prime factorization of 307445 in exponential form is:
307445 = 51×171×36171
Prime Factorization of 307449
| 3 | 307449 |
| 3 | 102483 |
| 3 | 34161 |
| 59 | 11387 |
| 193 | 193 |
| 1 |
Prime factors of 307449 are 3, 59,193. Prime factorization of 307449 in exponential form is:
307449 = 33×591×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 307445 and 307449.
LCM(307445,307449) = 33×51×171×591×1931×36171
LCM(307445,307449) = 94523657805
Factors of 307445
List of positive integer factors of 307445 that divides 307445 without a remainder.
1, 5, 17, 85, 3617, 18085, 61489, 307445
Factors of 307449
List of positive integer factors of 307449 that divides 307449 without a remainder.
1, 3, 9, 27, 59, 177, 193, 531, 579, 1593, 1737, 5211, 11387, 34161, 102483, 307449
Least Common Multiple of 307445 and 307449 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307445 and 307449, than apply into the LCM equation.
GCF(307445,307449) = 1
LCM(307445,307449) = ( 307445 × 307449) / 1
LCM(307445,307449) = 94523657805 / 1
LCM(307445,307449) = 94523657805
Properties of LCM 307445 and 307449
(i) The LCM of 307449 and 307445 is associative
LCM of 307445 and 307449 = LCM of 307449 and 307445
Related Least Common Multiples of 307445
Related Least Common Multiples of 307449
Frequently Asked Questions on LCM of 307445 and 307449
1. What is the LCM of 307445 and 307449?
Answer: LCM of 307445 and 307449 is 94523657805.
2. What are the Factors of 307445?
Answer: Factors of 307445 are 1, 5, 17, 85, 3617, 18085, 61489, 307445. There are 8 integers that are factors of 307445. The greatest factor of 307445 is 307445.
3. What are the Factors of 307449?
Answer: Factors of 307449 are 1, 3, 9, 27, 59, 177, 193, 531, 579, 1593, 1737, 5211, 11387, 34161, 102483, 307449. There are 16 integers that are factors of 307449. The greatest factor of 307449 is 307449.
4. How to Find the LCM of 307445 and 307449?
Answer:
Least Common Multiple of 307445 and 307449 = 94523657805
Step 1: Find the prime factorization of 307445
307445 = 5 x 17 x 3617
Step 2: Find the prime factorization of 307449
307449 = 3 x 3 x 3 x 59 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94523657805 = 3 x 3 x 3 x 5 x 17 x 59 x 193 x 3617
Step 4: Therefore, the least common multiple of 307445 and 307449 is 94523657805.