Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5216 and 5221 the smallest integer that is 27232736 that is divisible by both numbers.
Least Common Multiple (LCM) of 5216 and 5221 is 27232736.
LCM(5216,5221) = 27232736
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 5216 and 5221. First we will calculate the prime factors of 5216 and 5221.
Prime Factorization of 5216
2 | 5216 |
2 | 2608 |
2 | 1304 |
2 | 652 |
2 | 326 |
163 | 163 |
1 |
Prime factors of 5216 are 2,163. Prime factorization of 5216 in exponential form is:
5216 = 25×1631
Prime Factorization of 5221
23 | 5221 |
227 | 227 |
1 |
Prime factors of 5221 are 23,227. Prime factorization of 5221 in exponential form is:
5221 = 231×2271
Now multiplying the highest exponent prime factors to calculate the LCM of 5216 and 5221.
LCM(5216,5221) = 25×231×1631×2271
LCM(5216,5221) = 27232736
Factors of 5216
List of positive integer factors of 5216 that divides 5216 without a remainder.
1, 2, 4, 8, 16, 32, 163, 326, 652, 1304, 2608, 5216
Factors of 5221
List of positive integer factors of 5221 that divides 5221 without a remainder.
1, 23, 227, 5221
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5216 and 5221, than apply into the LCM equation.
GCF(5216,5221) = 1
LCM(5216,5221) = ( 5216 × 5221) / 1
LCM(5216,5221) = 27232736 / 1
LCM(5216,5221) = 27232736
(i) The LCM of 5221 and 5216 is associative
LCM of 5216 and 5221 = LCM of 5221 and 5216
1. What is the LCM of 5216 and 5221?
Answer: LCM of 5216 and 5221 is 27232736.
2. What are the Factors of 5216?
Answer: Factors of 5216 are 1, 2, 4, 8, 16, 32, 163, 326, 652, 1304, 2608, 5216. There are 12 integers that are factors of 5216. The greatest factor of 5216 is 5216.
3. What are the Factors of 5221?
Answer: Factors of 5221 are 1, 23, 227, 5221. There are 4 integers that are factors of 5221. The greatest factor of 5221 is 5221.
4. How to Find the LCM of 5216 and 5221?
Answer:
Least Common Multiple of 5216 and 5221 = 27232736
Step 1: Find the prime factorization of 5216
5216 = 2 x 2 x 2 x 2 x 2 x 163
Step 2: Find the prime factorization of 5221
5221 = 23 x 227
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27232736 = 2 x 2 x 2 x 2 x 2 x 23 x 163 x 227
Step 4: Therefore, the least common multiple of 5216 and 5221 is 27232736.