Least Common Multiple of 5215 and 5223
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 5223 the smallest integer that is 27237945 that is divisible by both numbers.
Least Common Multiple (LCM) of 5215 and 5223 is 27237945.
LCM(5215,5223) = 27237945
LCM of 5215 and 5223
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5215 and 5223 by Prime method
- Least Common Multiple of 5215 and 5223 with GCF Formula
LCM of 5215 and 5223 is 27237945
Least common multiple can be found by multiplying the highest exponent prime factors of 5215 and 5223. First we will calculate the prime factors of 5215 and 5223.
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 5223
| 3 | 5223 |
| 1741 | 1741 |
| 1 |
Prime factors of 5223 are 3,1741. Prime factorization of 5223 in exponential form is:
5223 = 31×17411
Now multiplying the highest exponent prime factors to calculate the LCM of 5215 and 5223.
LCM(5215,5223) = 31×51×71×1491×17411
LCM(5215,5223) = 27237945
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 5223
List of positive integer factors of 5223 that divides 5223 without a remainder.
1, 3, 1741, 5223
Least Common Multiple of 5215 and 5223 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 5223, than apply into the LCM equation.
GCF(5215,5223) = 1
LCM(5215,5223) = ( 5215 × 5223) / 1
LCM(5215,5223) = 27237945 / 1
LCM(5215,5223) = 27237945
Properties of LCM 5215 and 5223
(i) The LCM of 5223 and 5215 is associative
LCM of 5215 and 5223 = LCM of 5223 and 5215
Related Least Common Multiples of 5215
Related Least Common Multiples of 5223
Frequently Asked Questions on LCM of 5215 and 5223
1. What is the LCM of 5215 and 5223?
Answer: LCM of 5215 and 5223 is 27237945.
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 5223?
Answer: Factors of 5223 are 1, 3, 1741, 5223. There are 4 integers that are factors of 5223. The greatest factor of 5223 is 5223.
4. How to Find the LCM of 5215 and 5223?
Answer:
Least Common Multiple of 5215 and 5223 = 27237945
Step 1: Find the prime factorization of 5215
5215 = 5 x 7 x 149
Step 2: Find the prime factorization of 5223
5223 = 3 x 1741
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27237945 = 3 x 5 x 7 x 149 x 1741
Step 4: Therefore, the least common multiple of 5215 and 5223 is 27237945.