Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 287 and 291 the smallest integer that is 83517 that is divisible by both numbers.
Least Common Multiple (LCM) of 287 and 291 is 83517.
LCM(287,291) = 83517
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 287 and 291. First we will calculate the prime factors of 287 and 291.
Prime Factorization of 287
7 | 287 |
41 | 41 |
1 |
Prime factors of 287 are 7,41. Prime factorization of 287 in exponential form is:
287 = 71×411
Prime Factorization of 291
3 | 291 |
97 | 97 |
1 |
Prime factors of 291 are 3,97. Prime factorization of 291 in exponential form is:
291 = 31×971
Now multiplying the highest exponent prime factors to calculate the LCM of 287 and 291.
LCM(287,291) = 31×71×411×971
LCM(287,291) = 83517
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1, 7, 41, 287
Factors of 291
List of positive integer factors of 291 that divides 291 without a remainder.
1, 3, 97, 291
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 287 and 291, than apply into the LCM equation.
GCF(287,291) = 1
LCM(287,291) = ( 287 × 291) / 1
LCM(287,291) = 83517 / 1
LCM(287,291) = 83517
(i) The LCM of 291 and 287 is associative
LCM of 287 and 291 = LCM of 291 and 287
1. What is the LCM of 287 and 291?
Answer: LCM of 287 and 291 is 83517.
2. What are the Factors of 287?
Answer: Factors of 287 are 1, 7, 41, 287. There are 4 integers that are factors of 287. The greatest factor of 287 is 287.
3. What are the Factors of 291?
Answer: Factors of 291 are 1, 3, 97, 291. There are 4 integers that are factors of 291. The greatest factor of 291 is 291.
4. How to Find the LCM of 287 and 291?
Answer:
Least Common Multiple of 287 and 291 = 83517
Step 1: Find the prime factorization of 287
287 = 7 x 41
Step 2: Find the prime factorization of 291
291 = 3 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 = 83517 = 3 x 7 x 41 x 97
Step 4: Therefore, the least common multiple of 287 and 291 is 83517.