Least Common Multiple of 4201 and 4205
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4201 and 4205 the smallest integer that is 17665205 that is divisible by both numbers.
Least Common Multiple (LCM) of 4201 and 4205 is 17665205.
LCM(4201,4205) = 17665205
LCM of 4201 and 4205
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4201 and 4205 by Prime method
- Least Common Multiple of 4201 and 4205 with GCF Formula
LCM of 4201 and 4205 is 17665205
Least common multiple can be found by multiplying the highest exponent prime factors of 4201 and 4205. First we will calculate the prime factors of 4201 and 4205.
Prime Factorization of 4201
| 4201 | 4201 |
| 1 |
Prime factors of 4201 are 4201. Prime factorization of 4201 in exponential form is:
4201 = 42011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4201 and 4205.
LCM(4201,4205) = 51×292×42011
LCM(4201,4205) = 17665205
Factors of 4201
List of positive integer factors of 4201 that divides 4201 without a remainder.
1, 4201
Factors of 4205
List of positive integer factors of 4205 that divides 4205 without a remainder.
1, 5, 29, 145, 841, 4205
Least Common Multiple of 4201 and 4205 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4201 and 4205, than apply into the LCM equation.
GCF(4201,4205) = 1
LCM(4201,4205) = ( 4201 × 4205) / 1
LCM(4201,4205) = 17665205 / 1
LCM(4201,4205) = 17665205
Properties of LCM 4201 and 4205
(i) The LCM of 4205 and 4201 is associative
LCM of 4201 and 4205 = LCM of 4205 and 4201
Related Least Common Multiples of 4201
Related Least Common Multiples of 4205
Frequently Asked Questions on LCM of 4201 and 4205
1. What is the LCM of 4201 and 4205?
Answer: LCM of 4201 and 4205 is 17665205.
2. What are the Factors of 4201?
Answer: Factors of 4201 are 1, 4201. There are 2 integers that are factors of 4201. The greatest factor of 4201 is 4201.
3. 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.
4. How to Find the LCM of 4201 and 4205?
Answer:
Least Common Multiple of 4201 and 4205 = 17665205
Step 1: Find the prime factorization of 4201
4201 = 4201
Step 2: Find the prime factorization of 4205
4205 = 5 x 29 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17665205 = 5 x 29 x 29 x 4201
Step 4: Therefore, the least common multiple of 4201 and 4205 is 17665205.