Least Common Multiple of 5198 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 5198 and 5203 the smallest integer that is 27045194 that is divisible by both numbers.
Least Common Multiple (LCM) of 5198 and 5203 is 27045194.
LCM(5198,5203) = 27045194
LCM of 5198 and 5203
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5198 and 5203 by Prime method
- Least Common Multiple of 5198 and 5203 with GCF Formula
LCM of 5198 and 5203 is 27045194
Least common multiple can be found by multiplying the highest exponent prime factors of 5198 and 5203. First we will calculate the prime factors of 5198 and 5203.
Prime Factorization of 5198
| 2 | 5198 |
| 23 | 2599 |
| 113 | 113 |
| 1 |
Prime factors of 5198 are 2, 23,113. Prime factorization of 5198 in exponential form is:
5198 = 21×231×1131
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 5198 and 5203.
LCM(5198,5203) = 21×112×231×431×1131
LCM(5198,5203) = 27045194
Factors of 5198
List of positive integer factors of 5198 that divides 5198 without a remainder.
1, 2, 23, 46, 113, 226, 2599, 5198
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 5198 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 5198 and 5203, than apply into the LCM equation.
GCF(5198,5203) = 1
LCM(5198,5203) = ( 5198 × 5203) / 1
LCM(5198,5203) = 27045194 / 1
LCM(5198,5203) = 27045194
Properties of LCM 5198 and 5203
(i) The LCM of 5203 and 5198 is associative
LCM of 5198 and 5203 = LCM of 5203 and 5198
Related Least Common Multiples of 5198
Related Least Common Multiples of 5203
Frequently Asked Questions on LCM of 5198 and 5203
1. What is the LCM of 5198 and 5203?
Answer: LCM of 5198 and 5203 is 27045194.
2. What are the Factors of 5198?
Answer: Factors of 5198 are 1, 2, 23, 46, 113, 226, 2599, 5198. There are 8 integers that are factors of 5198. The greatest factor of 5198 is 5198.
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 5198 and 5203?
Answer:
Least Common Multiple of 5198 and 5203 = 27045194
Step 1: Find the prime factorization of 5198
5198 = 2 x 23 x 113
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 = 27045194 = 2 x 11 x 11 x 23 x 43 x 113
Step 4: Therefore, the least common multiple of 5198 and 5203 is 27045194.