Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5315 and 5317 the smallest integer that is 28259855 that is divisible by both numbers.
Least Common Multiple (LCM) of 5315 and 5317 is 28259855.
LCM(5315,5317) = 28259855
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 5315 and 5317. First we will calculate the prime factors of 5315 and 5317.
Prime Factorization of 5315
5 | 5315 |
1063 | 1063 |
1 |
Prime factors of 5315 are 5,1063. Prime factorization of 5315 in exponential form is:
5315 = 51×10631
Prime Factorization of 5317
13 | 5317 |
409 | 409 |
1 |
Prime factors of 5317 are 13,409. Prime factorization of 5317 in exponential form is:
5317 = 131×4091
Now multiplying the highest exponent prime factors to calculate the LCM of 5315 and 5317.
LCM(5315,5317) = 51×131×4091×10631
LCM(5315,5317) = 28259855
Factors of 5315
List of positive integer factors of 5315 that divides 5315 without a remainder.
1, 5, 1063, 5315
Factors of 5317
List of positive integer factors of 5317 that divides 5317 without a remainder.
1, 13, 409, 5317
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5315 and 5317, than apply into the LCM equation.
GCF(5315,5317) = 1
LCM(5315,5317) = ( 5315 × 5317) / 1
LCM(5315,5317) = 28259855 / 1
LCM(5315,5317) = 28259855
(i) The LCM of 5317 and 5315 is associative
LCM of 5315 and 5317 = LCM of 5317 and 5315
1. What is the LCM of 5315 and 5317?
Answer: LCM of 5315 and 5317 is 28259855.
2. What are the Factors of 5315?
Answer: Factors of 5315 are 1, 5, 1063, 5315. There are 4 integers that are factors of 5315. The greatest factor of 5315 is 5315.
3. What are the Factors of 5317?
Answer: Factors of 5317 are 1, 13, 409, 5317. There are 4 integers that are factors of 5317. The greatest factor of 5317 is 5317.
4. How to Find the LCM of 5315 and 5317?
Answer:
Least Common Multiple of 5315 and 5317 = 28259855
Step 1: Find the prime factorization of 5315
5315 = 5 x 1063
Step 2: Find the prime factorization of 5317
5317 = 13 x 409
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 28259855 = 5 x 13 x 409 x 1063
Step 4: Therefore, the least common multiple of 5315 and 5317 is 28259855.