Least Common Multiple of 5211 and 5215
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5211 and 5215 the smallest integer that is 27175365 that is divisible by both numbers.
Least Common Multiple (LCM) of 5211 and 5215 is 27175365.
LCM(5211,5215) = 27175365
LCM of 5211 and 5215
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5211 and 5215 by Prime method
- Least Common Multiple of 5211 and 5215 with GCF Formula
LCM of 5211 and 5215 is 27175365
Least common multiple can be found by multiplying the highest exponent prime factors of 5211 and 5215. First we will calculate the prime factors of 5211 and 5215.
Prime Factorization of 5211
| 3 | 5211 |
| 3 | 1737 |
| 3 | 579 |
| 193 | 193 |
| 1 |
Prime factors of 5211 are 3,193. Prime factorization of 5211 in exponential form is:
5211 = 33×1931
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5211 and 5215.
LCM(5211,5215) = 33×51×71×1491×1931
LCM(5211,5215) = 27175365
Factors of 5211
List of positive integer factors of 5211 that divides 5211 without a remainder.
1, 3, 9, 27, 193, 579, 1737, 5211
Factors of 5215
List of positive integer factors of 5215 that divides 5215 without a remainder.
1, 5, 7, 35, 149, 745, 1043, 5215
Least Common Multiple of 5211 and 5215 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5211 and 5215, than apply into the LCM equation.
GCF(5211,5215) = 1
LCM(5211,5215) = ( 5211 × 5215) / 1
LCM(5211,5215) = 27175365 / 1
LCM(5211,5215) = 27175365
Properties of LCM 5211 and 5215
(i) The LCM of 5215 and 5211 is associative
LCM of 5211 and 5215 = LCM of 5215 and 5211
Related Least Common Multiples of 5211
Related Least Common Multiples of 5215
Frequently Asked Questions on LCM of 5211 and 5215
1. What is the LCM of 5211 and 5215?
Answer: LCM of 5211 and 5215 is 27175365.
2. What are the Factors of 5211?
Answer: Factors of 5211 are 1, 3, 9, 27, 193, 579, 1737, 5211. There are 8 integers that are factors of 5211. The greatest factor of 5211 is 5211.
3. 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.
4. How to Find the LCM of 5211 and 5215?
Answer:
Least Common Multiple of 5211 and 5215 = 27175365
Step 1: Find the prime factorization of 5211
5211 = 3 x 3 x 3 x 193
Step 2: Find the prime factorization of 5215
5215 = 5 x 7 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27175365 = 3 x 3 x 3 x 5 x 7 x 149 x 193
Step 4: Therefore, the least common multiple of 5211 and 5215 is 27175365.