Least Common Multiple of 11310 and 11314
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 11310 and 11314 the smallest integer that is 63980670 that is divisible by both numbers.
Least Common Multiple (LCM) of 11310 and 11314 is 63980670.
LCM(11310,11314) = 63980670
LCM of 11310 and 11314
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 11310 and 11314 by Prime method
- Least Common Multiple of 11310 and 11314 with GCF Formula
LCM of 11310 and 11314 is 63980670
Least common multiple can be found by multiplying the highest exponent prime factors of 11310 and 11314. First we will calculate the prime factors of 11310 and 11314.
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
Prime Factorization of 11314
| 2 | 11314 |
| 5657 | 5657 |
| 1 |
Prime factors of 11314 are 2,5657. Prime factorization of 11314 in exponential form is:
11314 = 21×56571
Now multiplying the highest exponent prime factors to calculate the LCM of 11310 and 11314.
LCM(11310,11314) = 21×31×51×131×291×56571
LCM(11310,11314) = 63980670
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
Factors of 11314
List of positive integer factors of 11314 that divides 11314 without a remainder.
1, 2, 5657, 11314
Least Common Multiple of 11310 and 11314 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11310 and 11314, than apply into the LCM equation.
GCF(11310,11314) = 2
LCM(11310,11314) = ( 11310 × 11314) / 2
LCM(11310,11314) = 127961340 / 2
LCM(11310,11314) = 63980670
Properties of LCM 11310 and 11314
(i) The LCM of 11314 and 11310 is associative
LCM of 11310 and 11314 = LCM of 11314 and 11310
Related Least Common Multiples of 11310
Related Least Common Multiples of 11314
Frequently Asked Questions on LCM of 11310 and 11314
1. What is the LCM of 11310 and 11314?
Answer: LCM of 11310 and 11314 is 63980670.
2. 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.
3. What are the Factors of 11314?
Answer: Factors of 11314 are 1, 2, 5657, 11314. There are 4 integers that are factors of 11314. The greatest factor of 11314 is 11314.
4. How to Find the LCM of 11310 and 11314?
Answer:
Least Common Multiple of 11310 and 11314 = 63980670
Step 1: Find the prime factorization of 11310
11310 = 2 x 3 x 5 x 13 x 29
Step 2: Find the prime factorization of 11314
11314 = 2 x 5657
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63980670 = 2 x 3 x 5 x 13 x 29 x 5657
Step 4: Therefore, the least common multiple of 11310 and 11314 is 63980670.