Least Common Multiple of 11303 and 11310
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 11303 and 11310 the smallest integer that is 127836930 that is divisible by both numbers.
Least Common Multiple (LCM) of 11303 and 11310 is 127836930.
LCM(11303,11310) = 127836930
LCM of 11303 and 11310
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 11303 and 11310 by Prime method
- Least Common Multiple of 11303 and 11310 with GCF Formula
LCM of 11303 and 11310 is 127836930
Least common multiple can be found by multiplying the highest exponent prime factors of 11303 and 11310. First we will calculate the prime factors of 11303 and 11310.
Prime Factorization of 11303
| 89 | 11303 |
| 127 | 127 |
| 1 |
Prime factors of 11303 are 89,127. Prime factorization of 11303 in exponential form is:
11303 = 891×1271
Prime Factorization of 11310
| 2 | 11310 |
| 3 | 5655 |
| 5 | 1885 |
| 13 | 377 |
| 29 | 29 |
| 1 |
Prime factors of 11310 are 2, 3, 5, 13,29. Prime factorization of 11310 in exponential form is:
11310 = 21×31×51×131×291
Now multiplying the highest exponent prime factors to calculate the LCM of 11303 and 11310.
LCM(11303,11310) = 21×31×51×131×291×891×1271
LCM(11303,11310) = 127836930
Factors of 11303
List of positive integer factors of 11303 that divides 11303 without a remainder.
1, 89, 127, 11303
Factors of 11310
List of positive integer factors of 11310 that divides 11310 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 29, 30, 39, 58, 65, 78, 87, 130, 145, 174, 195, 290, 377, 390, 435, 754, 870, 1131, 1885, 2262, 3770, 5655, 11310
Least Common Multiple of 11303 and 11310 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11303 and 11310, than apply into the LCM equation.
GCF(11303,11310) = 1
LCM(11303,11310) = ( 11303 × 11310) / 1
LCM(11303,11310) = 127836930 / 1
LCM(11303,11310) = 127836930
Properties of LCM 11303 and 11310
(i) The LCM of 11310 and 11303 is associative
LCM of 11303 and 11310 = LCM of 11310 and 11303
Related Least Common Multiples of 11303
Related Least Common Multiples of 11310
Frequently Asked Questions on LCM of 11303 and 11310
1. What is the LCM of 11303 and 11310?
Answer: LCM of 11303 and 11310 is 127836930.
2. What are the Factors of 11303?
Answer: Factors of 11303 are 1, 89, 127, 11303. There are 4 integers that are factors of 11303. The greatest factor of 11303 is 11303.
3. What are the Factors of 11310?
Answer: Factors of 11310 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 29, 30, 39, 58, 65, 78, 87, 130, 145, 174, 195, 290, 377, 390, 435, 754, 870, 1131, 1885, 2262, 3770, 5655, 11310. There are 32 integers that are factors of 11310. The greatest factor of 11310 is 11310.
4. How to Find the LCM of 11303 and 11310?
Answer:
Least Common Multiple of 11303 and 11310 = 127836930
Step 1: Find the prime factorization of 11303
11303 = 89 x 127
Step 2: Find the prime factorization of 11310
11310 = 2 x 3 x 5 x 13 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 127836930 = 2 x 3 x 5 x 13 x 29 x 89 x 127
Step 4: Therefore, the least common multiple of 11303 and 11310 is 127836930.