Least Common Multiple of 11342 and 11349
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 11342 and 11349 the smallest integer that is 128720358 that is divisible by both numbers.
Least Common Multiple (LCM) of 11342 and 11349 is 128720358.
LCM(11342,11349) = 128720358
LCM of 11342 and 11349
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 11342 and 11349 by Prime method
- Least Common Multiple of 11342 and 11349 with GCF Formula
LCM of 11342 and 11349 is 128720358
Least common multiple can be found by multiplying the highest exponent prime factors of 11342 and 11349. First we will calculate the prime factors of 11342 and 11349.
Prime Factorization of 11342
| 2 | 11342 |
| 53 | 5671 |
| 107 | 107 |
| 1 |
Prime factors of 11342 are 2, 53,107. Prime factorization of 11342 in exponential form is:
11342 = 21×531×1071
Prime Factorization of 11349
| 3 | 11349 |
| 3 | 3783 |
| 13 | 1261 |
| 97 | 97 |
| 1 |
Prime factors of 11349 are 3, 13,97. Prime factorization of 11349 in exponential form is:
11349 = 32×131×971
Now multiplying the highest exponent prime factors to calculate the LCM of 11342 and 11349.
LCM(11342,11349) = 21×32×131×531×971×1071
LCM(11342,11349) = 128720358
Factors of 11342
List of positive integer factors of 11342 that divides 11342 without a remainder.
1, 2, 53, 106, 107, 214, 5671, 11342
Factors of 11349
List of positive integer factors of 11349 that divides 11349 without a remainder.
1, 3, 9, 13, 39, 97, 117, 291, 873, 1261, 3783, 11349
Least Common Multiple of 11342 and 11349 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11342 and 11349, than apply into the LCM equation.
GCF(11342,11349) = 1
LCM(11342,11349) = ( 11342 × 11349) / 1
LCM(11342,11349) = 128720358 / 1
LCM(11342,11349) = 128720358
Properties of LCM 11342 and 11349
(i) The LCM of 11349 and 11342 is associative
LCM of 11342 and 11349 = LCM of 11349 and 11342
Related Least Common Multiples of 11342
Related Least Common Multiples of 11349
Frequently Asked Questions on LCM of 11342 and 11349
1. What is the LCM of 11342 and 11349?
Answer: LCM of 11342 and 11349 is 128720358.
2. What are the Factors of 11342?
Answer: Factors of 11342 are 1, 2, 53, 106, 107, 214, 5671, 11342. There are 8 integers that are factors of 11342. The greatest factor of 11342 is 11342.
3. What are the Factors of 11349?
Answer: Factors of 11349 are 1, 3, 9, 13, 39, 97, 117, 291, 873, 1261, 3783, 11349. There are 12 integers that are factors of 11349. The greatest factor of 11349 is 11349.
4. How to Find the LCM of 11342 and 11349?
Answer:
Least Common Multiple of 11342 and 11349 = 128720358
Step 1: Find the prime factorization of 11342
11342 = 2 x 53 x 107
Step 2: Find the prime factorization of 11349
11349 = 3 x 3 x 13 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 128720358 = 2 x 3 x 3 x 13 x 53 x 97 x 107
Step 4: Therefore, the least common multiple of 11342 and 11349 is 128720358.