Least Common Multiple of 5215 and 5221
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5215 and 5221 the smallest integer that is 27227515 that is divisible by both numbers.
Least Common Multiple (LCM) of 5215 and 5221 is 27227515.
LCM(5215,5221) = 27227515
LCM of 5215 and 5221
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5215 and 5221 by Prime method
- Least Common Multiple of 5215 and 5221 with GCF Formula
LCM of 5215 and 5221 is 27227515
Least common multiple can be found by multiplying the highest exponent prime factors of 5215 and 5221. First we will calculate the prime factors of 5215 and 5221.
Prime Factorization of 5215
| 5 | 5215 |
| 7 | 1043 |
| 149 | 149 |
| 1 |
Prime factors of 5215 are 5, 7,149. Prime factorization of 5215 in exponential form is:
5215 = 51×71×1491
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 5215 and 5221.
LCM(5215,5221) = 51×71×231×1491×2271
LCM(5215,5221) = 27227515
Factors of 5215
List of positive integer factors of 5215 that divides 5215 without a remainder.
1, 5, 7, 35, 149, 745, 1043, 5215
Factors of 5221
List of positive integer factors of 5221 that divides 5221 without a remainder.
1, 23, 227, 5221
Least Common Multiple of 5215 and 5221 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5215 and 5221, than apply into the LCM equation.
GCF(5215,5221) = 1
LCM(5215,5221) = ( 5215 × 5221) / 1
LCM(5215,5221) = 27227515 / 1
LCM(5215,5221) = 27227515
Properties of LCM 5215 and 5221
(i) The LCM of 5221 and 5215 is associative
LCM of 5215 and 5221 = LCM of 5221 and 5215
Related Least Common Multiples of 5215
Related Least Common Multiples of 5221
Frequently Asked Questions on LCM of 5215 and 5221
1. What is the LCM of 5215 and 5221?
Answer: LCM of 5215 and 5221 is 27227515.
2. What are the Factors of 5215?
Answer: Factors of 5215 are 1, 5, 7, 35, 149, 745, 1043, 5215. There are 8 integers that are factors of 5215. The greatest factor of 5215 is 5215.
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 5215 and 5221?
Answer:
Least Common Multiple of 5215 and 5221 = 27227515
Step 1: Find the prime factorization of 5215
5215 = 5 x 7 x 149
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 = 27227515 = 5 x 7 x 23 x 149 x 227
Step 4: Therefore, the least common multiple of 5215 and 5221 is 27227515.