Least Common Multiple of 4205 and 4213
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4205 and 4213 the smallest integer that is 17715665 that is divisible by both numbers.
Least Common Multiple (LCM) of 4205 and 4213 is 17715665.
LCM(4205,4213) = 17715665
LCM of 4205 and 4213
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4205 and 4213 by Prime method
- Least Common Multiple of 4205 and 4213 with GCF Formula
LCM of 4205 and 4213 is 17715665
Least common multiple can be found by multiplying the highest exponent prime factors of 4205 and 4213. First we will calculate the prime factors of 4205 and 4213.
Prime Factorization of 4205
| 5 | 4205 |
| 29 | 841 |
| 29 | 29 |
| 1 |
Prime factors of 4205 are 5,29. Prime factorization of 4205 in exponential form is:
4205 = 51×292
Prime Factorization of 4213
| 11 | 4213 |
| 383 | 383 |
| 1 |
Prime factors of 4213 are 11,383. Prime factorization of 4213 in exponential form is:
4213 = 111×3831
Now multiplying the highest exponent prime factors to calculate the LCM of 4205 and 4213.
LCM(4205,4213) = 51×111×292×3831
LCM(4205,4213) = 17715665
Factors of 4205
List of positive integer factors of 4205 that divides 4205 without a remainder.
1, 5, 29, 145, 841, 4205
Factors of 4213
List of positive integer factors of 4213 that divides 4213 without a remainder.
1, 11, 383, 4213
Least Common Multiple of 4205 and 4213 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4205 and 4213, than apply into the LCM equation.
GCF(4205,4213) = 1
LCM(4205,4213) = ( 4205 × 4213) / 1
LCM(4205,4213) = 17715665 / 1
LCM(4205,4213) = 17715665
Properties of LCM 4205 and 4213
(i) The LCM of 4213 and 4205 is associative
LCM of 4205 and 4213 = LCM of 4213 and 4205
Related Least Common Multiples of 4205
Related Least Common Multiples of 4213
Frequently Asked Questions on LCM of 4205 and 4213
1. What is the LCM of 4205 and 4213?
Answer: LCM of 4205 and 4213 is 17715665.
2. What are the Factors of 4205?
Answer: Factors of 4205 are 1, 5, 29, 145, 841, 4205. There are 6 integers that are factors of 4205. The greatest factor of 4205 is 4205.
3. What are the Factors of 4213?
Answer: Factors of 4213 are 1, 11, 383, 4213. There are 4 integers that are factors of 4213. The greatest factor of 4213 is 4213.
4. How to Find the LCM of 4205 and 4213?
Answer:
Least Common Multiple of 4205 and 4213 = 17715665
Step 1: Find the prime factorization of 4205
4205 = 5 x 29 x 29
Step 2: Find the prime factorization of 4213
4213 = 11 x 383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17715665 = 5 x 11 x 29 x 29 x 383
Step 4: Therefore, the least common multiple of 4205 and 4213 is 17715665.