Least Common Multiple of 5203 and 5207
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5203 and 5207 the smallest integer that is 27092021 that is divisible by both numbers.
Least Common Multiple (LCM) of 5203 and 5207 is 27092021.
LCM(5203,5207) = 27092021
LCM of 5203 and 5207
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5203 and 5207 by Prime method
- Least Common Multiple of 5203 and 5207 with GCF Formula
LCM of 5203 and 5207 is 27092021
Least common multiple can be found by multiplying the highest exponent prime factors of 5203 and 5207. First we will calculate the prime factors of 5203 and 5207.
Prime Factorization of 5203
| 11 | 5203 |
| 11 | 473 |
| 43 | 43 |
| 1 |
Prime factors of 5203 are 11,43. Prime factorization of 5203 in exponential form is:
5203 = 112×431
Prime Factorization of 5207
| 41 | 5207 |
| 127 | 127 |
| 1 |
Prime factors of 5207 are 41,127. Prime factorization of 5207 in exponential form is:
5207 = 411×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 5203 and 5207.
LCM(5203,5207) = 112×411×431×1271
LCM(5203,5207) = 27092021
Factors of 5203
List of positive integer factors of 5203 that divides 5203 without a remainder.
1, 11, 43, 121, 473, 5203
Factors of 5207
List of positive integer factors of 5207 that divides 5207 without a remainder.
1, 41, 127, 5207
Least Common Multiple of 5203 and 5207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5203 and 5207, than apply into the LCM equation.
GCF(5203,5207) = 1
LCM(5203,5207) = ( 5203 × 5207) / 1
LCM(5203,5207) = 27092021 / 1
LCM(5203,5207) = 27092021
Properties of LCM 5203 and 5207
(i) The LCM of 5207 and 5203 is associative
LCM of 5203 and 5207 = LCM of 5207 and 5203
Related Least Common Multiples of 5203
Related Least Common Multiples of 5207
Frequently Asked Questions on LCM of 5203 and 5207
1. What is the LCM of 5203 and 5207?
Answer: LCM of 5203 and 5207 is 27092021.
2. What are the Factors of 5203?
Answer: Factors of 5203 are 1, 11, 43, 121, 473, 5203. There are 6 integers that are factors of 5203. The greatest factor of 5203 is 5203.
3. What are the Factors of 5207?
Answer: Factors of 5207 are 1, 41, 127, 5207. There are 4 integers that are factors of 5207. The greatest factor of 5207 is 5207.
4. How to Find the LCM of 5203 and 5207?
Answer:
Least Common Multiple of 5203 and 5207 = 27092021
Step 1: Find the prime factorization of 5203
5203 = 11 x 11 x 43
Step 2: Find the prime factorization of 5207
5207 = 41 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27092021 = 11 x 11 x 41 x 43 x 127
Step 4: Therefore, the least common multiple of 5203 and 5207 is 27092021.