Least Common Multiple of 307449 and 307453
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 307449 and 307453 the smallest integer that is 94526117397 that is divisible by both numbers.
Least Common Multiple (LCM) of 307449 and 307453 is 94526117397.
LCM(307449,307453) = 94526117397
LCM of 307449 and 307453
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 307449 and 307453 by Prime method
- Least Common Multiple of 307449 and 307453 with GCF Formula
LCM of 307449 and 307453 is 94526117397
Least common multiple can be found by multiplying the highest exponent prime factors of 307449 and 307453. First we will calculate the prime factors of 307449 and 307453.
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
Prime Factorization of 307453
| 53 | 307453 |
| 5801 | 5801 |
| 1 |
Prime factors of 307453 are 53,5801. Prime factorization of 307453 in exponential form is:
307453 = 531×58011
Now multiplying the highest exponent prime factors to calculate the LCM of 307449 and 307453.
LCM(307449,307453) = 33×531×591×1931×58011
LCM(307449,307453) = 94526117397
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
Factors of 307453
List of positive integer factors of 307453 that divides 307453 without a remainder.
1, 53, 5801, 307453
Least Common Multiple of 307449 and 307453 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 307449 and 307453, than apply into the LCM equation.
GCF(307449,307453) = 1
LCM(307449,307453) = ( 307449 × 307453) / 1
LCM(307449,307453) = 94526117397 / 1
LCM(307449,307453) = 94526117397
Properties of LCM 307449 and 307453
(i) The LCM of 307453 and 307449 is associative
LCM of 307449 and 307453 = LCM of 307453 and 307449
Related Least Common Multiples of 307449
Related Least Common Multiples of 307453
Frequently Asked Questions on LCM of 307449 and 307453
1. What is the LCM of 307449 and 307453?
Answer: LCM of 307449 and 307453 is 94526117397.
2. 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.
3. What are the Factors of 307453?
Answer: Factors of 307453 are 1, 53, 5801, 307453. There are 4 integers that are factors of 307453. The greatest factor of 307453 is 307453.
4. How to Find the LCM of 307449 and 307453?
Answer:
Least Common Multiple of 307449 and 307453 = 94526117397
Step 1: Find the prime factorization of 307449
307449 = 3 x 3 x 3 x 59 x 193
Step 2: Find the prime factorization of 307453
307453 = 53 x 5801
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94526117397 = 3 x 3 x 3 x 53 x 59 x 193 x 5801
Step 4: Therefore, the least common multiple of 307449 and 307453 is 94526117397.