Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 286 and 293 the smallest integer that is 83798 that is divisible by both numbers.
Least Common Multiple (LCM) of 286 and 293 is 83798.
LCM(286,293) = 83798
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 286 and 293. First we will calculate the prime factors of 286 and 293.
Prime Factorization of 286
2 | 286 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 286 are 2, 11,13. Prime factorization of 286 in exponential form is:
286 = 21×111×131
Prime Factorization of 293
293 | 293 |
1 |
Prime factors of 293 are 293. Prime factorization of 293 in exponential form is:
293 = 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 286 and 293.
LCM(286,293) = 21×111×131×2931
LCM(286,293) = 83798
Factors of 286
List of positive integer factors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1, 293
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 286 and 293, than apply into the LCM equation.
GCF(286,293) = 1
LCM(286,293) = ( 286 × 293) / 1
LCM(286,293) = 83798 / 1
LCM(286,293) = 83798
(i) The LCM of 293 and 286 is associative
LCM of 286 and 293 = LCM of 293 and 286
1. What is the LCM of 286 and 293?
Answer: LCM of 286 and 293 is 83798.
2. What are the Factors of 286?
Answer: Factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286. There are 8 integers that are factors of 286. The greatest factor of 286 is 286.
3. What are the Factors of 293?
Answer: Factors of 293 are 1, 293. There are 2 integers that are factors of 293. The greatest factor of 293 is 293.
4. How to Find the LCM of 286 and 293?
Answer:
Least Common Multiple of 286 and 293 = 83798
Step 1: Find the prime factorization of 286
286 = 2 x 11 x 13
Step 2: Find the prime factorization of 293
293 = 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83798 = 2 x 11 x 13 x 293
Step 4: Therefore, the least common multiple of 286 and 293 is 83798.