Least Common Multiple of 5195 and 5203
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5195 and 5203 the smallest integer that is 27029585 that is divisible by both numbers.
Least Common Multiple (LCM) of 5195 and 5203 is 27029585.
LCM(5195,5203) = 27029585
LCM of 5195 and 5203
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5195 and 5203 by Prime method
- Least Common Multiple of 5195 and 5203 with GCF Formula
LCM of 5195 and 5203 is 27029585
Least common multiple can be found by multiplying the highest exponent prime factors of 5195 and 5203. First we will calculate the prime factors of 5195 and 5203.
Prime Factorization of 5195
| 5 | 5195 |
| 1039 | 1039 |
| 1 |
Prime factors of 5195 are 5,1039. Prime factorization of 5195 in exponential form is:
5195 = 51×10391
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5195 and 5203.
LCM(5195,5203) = 51×112×431×10391
LCM(5195,5203) = 27029585
Factors of 5195
List of positive integer factors of 5195 that divides 5195 without a remainder.
1, 5, 1039, 5195
Factors of 5203
List of positive integer factors of 5203 that divides 5203 without a remainder.
1, 11, 43, 121, 473, 5203
Least Common Multiple of 5195 and 5203 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5195 and 5203, than apply into the LCM equation.
GCF(5195,5203) = 1
LCM(5195,5203) = ( 5195 × 5203) / 1
LCM(5195,5203) = 27029585 / 1
LCM(5195,5203) = 27029585
Properties of LCM 5195 and 5203
(i) The LCM of 5203 and 5195 is associative
LCM of 5195 and 5203 = LCM of 5203 and 5195
Related Least Common Multiples of 5195
Related Least Common Multiples of 5203
Frequently Asked Questions on LCM of 5195 and 5203
1. What is the LCM of 5195 and 5203?
Answer: LCM of 5195 and 5203 is 27029585.
2. What are the Factors of 5195?
Answer: Factors of 5195 are 1, 5, 1039, 5195. There are 4 integers that are factors of 5195. The greatest factor of 5195 is 5195.
3. 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.
4. How to Find the LCM of 5195 and 5203?
Answer:
Least Common Multiple of 5195 and 5203 = 27029585
Step 1: Find the prime factorization of 5195
5195 = 5 x 1039
Step 2: Find the prime factorization of 5203
5203 = 11 x 11 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27029585 = 5 x 11 x 11 x 43 x 1039
Step 4: Therefore, the least common multiple of 5195 and 5203 is 27029585.