Least Common Multiple of 14213 and 14215
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 14213 and 14215 the smallest integer that is 202037795 that is divisible by both numbers.
Least Common Multiple (LCM) of 14213 and 14215 is 202037795.
LCM(14213,14215) = 202037795
LCM of 14213 and 14215
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 14213 and 14215 by Prime method
- Least Common Multiple of 14213 and 14215 with GCF Formula
LCM of 14213 and 14215 is 202037795
Least common multiple can be found by multiplying the highest exponent prime factors of 14213 and 14215. First we will calculate the prime factors of 14213 and 14215.
Prime Factorization of 14213
| 61 | 14213 |
| 233 | 233 |
| 1 |
Prime factors of 14213 are 61,233. Prime factorization of 14213 in exponential form is:
14213 = 611×2331
Prime Factorization of 14215
| 5 | 14215 |
| 2843 | 2843 |
| 1 |
Prime factors of 14215 are 5,2843. Prime factorization of 14215 in exponential form is:
14215 = 51×28431
Now multiplying the highest exponent prime factors to calculate the LCM of 14213 and 14215.
LCM(14213,14215) = 51×611×2331×28431
LCM(14213,14215) = 202037795
Factors of 14213
List of positive integer factors of 14213 that divides 14213 without a remainder.
1, 61, 233, 14213
Factors of 14215
List of positive integer factors of 14215 that divides 14215 without a remainder.
1, 5, 2843, 14215
Least Common Multiple of 14213 and 14215 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14213 and 14215, than apply into the LCM equation.
GCF(14213,14215) = 1
LCM(14213,14215) = ( 14213 × 14215) / 1
LCM(14213,14215) = 202037795 / 1
LCM(14213,14215) = 202037795
Properties of LCM 14213 and 14215
(i) The LCM of 14215 and 14213 is associative
LCM of 14213 and 14215 = LCM of 14215 and 14213
Related Least Common Multiples of 14213
Related Least Common Multiples of 14215
Frequently Asked Questions on LCM of 14213 and 14215
1. What is the LCM of 14213 and 14215?
Answer: LCM of 14213 and 14215 is 202037795.
2. What are the Factors of 14213?
Answer: Factors of 14213 are 1, 61, 233, 14213. There are 4 integers that are factors of 14213. The greatest factor of 14213 is 14213.
3. What are the Factors of 14215?
Answer: Factors of 14215 are 1, 5, 2843, 14215. There are 4 integers that are factors of 14215. The greatest factor of 14215 is 14215.
4. How to Find the LCM of 14213 and 14215?
Answer:
Least Common Multiple of 14213 and 14215 = 202037795
Step 1: Find the prime factorization of 14213
14213 = 61 x 233
Step 2: Find the prime factorization of 14215
14215 = 5 x 2843
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 202037795 = 5 x 61 x 233 x 2843
Step 4: Therefore, the least common multiple of 14213 and 14215 is 202037795.