Least Common Multiple of 5235 and 5243
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5235 and 5243 the smallest integer that is 27447105 that is divisible by both numbers.
Least Common Multiple (LCM) of 5235 and 5243 is 27447105.
LCM(5235,5243) = 27447105
LCM of 5235 and 5243
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5235 and 5243 by Prime method
- Least Common Multiple of 5235 and 5243 with GCF Formula
LCM of 5235 and 5243 is 27447105
Least common multiple can be found by multiplying the highest exponent prime factors of 5235 and 5243. First we will calculate the prime factors of 5235 and 5243.
Prime Factorization of 5235
| 3 | 5235 |
| 5 | 1745 |
| 349 | 349 |
| 1 |
Prime factors of 5235 are 3, 5,349. Prime factorization of 5235 in exponential form is:
5235 = 31×51×3491
Prime Factorization of 5243
| 7 | 5243 |
| 7 | 749 |
| 107 | 107 |
| 1 |
Prime factors of 5243 are 7,107. Prime factorization of 5243 in exponential form is:
5243 = 72×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 5235 and 5243.
LCM(5235,5243) = 31×51×72×1071×3491
LCM(5235,5243) = 27447105
Factors of 5235
List of positive integer factors of 5235 that divides 5235 without a remainder.
1, 3, 5, 15, 349, 1047, 1745, 5235
Factors of 5243
List of positive integer factors of 5243 that divides 5243 without a remainder.
1, 7, 49, 107, 749, 5243
Least Common Multiple of 5235 and 5243 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5235 and 5243, than apply into the LCM equation.
GCF(5235,5243) = 1
LCM(5235,5243) = ( 5235 × 5243) / 1
LCM(5235,5243) = 27447105 / 1
LCM(5235,5243) = 27447105
Properties of LCM 5235 and 5243
(i) The LCM of 5243 and 5235 is associative
LCM of 5235 and 5243 = LCM of 5243 and 5235
Related Least Common Multiples of 5235
Related Least Common Multiples of 5243
Frequently Asked Questions on LCM of 5235 and 5243
1. What is the LCM of 5235 and 5243?
Answer: LCM of 5235 and 5243 is 27447105.
2. What are the Factors of 5235?
Answer: Factors of 5235 are 1, 3, 5, 15, 349, 1047, 1745, 5235. There are 8 integers that are factors of 5235. The greatest factor of 5235 is 5235.
3. What are the Factors of 5243?
Answer: Factors of 5243 are 1, 7, 49, 107, 749, 5243. There are 6 integers that are factors of 5243. The greatest factor of 5243 is 5243.
4. How to Find the LCM of 5235 and 5243?
Answer:
Least Common Multiple of 5235 and 5243 = 27447105
Step 1: Find the prime factorization of 5235
5235 = 3 x 5 x 349
Step 2: Find the prime factorization of 5243
5243 = 7 x 7 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27447105 = 3 x 5 x 7 x 7 x 107 x 349
Step 4: Therefore, the least common multiple of 5235 and 5243 is 27447105.