Least Common Multiple of 5243 and 5250
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5243 and 5250 the smallest integer that is 3932250 that is divisible by both numbers.
Least Common Multiple (LCM) of 5243 and 5250 is 3932250.
LCM(5243,5250) = 3932250
LCM of 5243 and 5250
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5243 and 5250 by Prime method
- Least Common Multiple of 5243 and 5250 with GCF Formula
LCM of 5243 and 5250 is 3932250
Least common multiple can be found by multiplying the highest exponent prime factors of 5243 and 5250. First we will calculate the prime factors of 5243 and 5250.
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
Prime Factorization of 5250
| 2 | 5250 |
| 3 | 2625 |
| 5 | 875 |
| 5 | 175 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 5250 are 2, 3, 5,7. Prime factorization of 5250 in exponential form is:
5250 = 21×31×53×71
Now multiplying the highest exponent prime factors to calculate the LCM of 5243 and 5250.
LCM(5243,5250) = 21×31×53×72×1071
LCM(5243,5250) = 3932250
Factors of 5243
List of positive integer factors of 5243 that divides 5243 without a remainder.
1, 7, 49, 107, 749, 5243
Factors of 5250
List of positive integer factors of 5250 that divides 5250 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250
Least Common Multiple of 5243 and 5250 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5243 and 5250, than apply into the LCM equation.
GCF(5243,5250) = 7
LCM(5243,5250) = ( 5243 × 5250) / 7
LCM(5243,5250) = 27525750 / 7
LCM(5243,5250) = 3932250
Properties of LCM 5243 and 5250
(i) The LCM of 5250 and 5243 is associative
LCM of 5243 and 5250 = LCM of 5250 and 5243
Related Least Common Multiples of 5243
Related Least Common Multiples of 5250
Frequently Asked Questions on LCM of 5243 and 5250
1. What is the LCM of 5243 and 5250?
Answer: LCM of 5243 and 5250 is 3932250.
2. 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.
3. What are the Factors of 5250?
Answer: Factors of 5250 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 125, 150, 175, 210, 250, 350, 375, 525, 750, 875, 1050, 1750, 2625, 5250. There are 32 integers that are factors of 5250. The greatest factor of 5250 is 5250.
4. How to Find the LCM of 5243 and 5250?
Answer:
Least Common Multiple of 5243 and 5250 = 3932250
Step 1: Find the prime factorization of 5243
5243 = 7 x 7 x 107
Step 2: Find the prime factorization of 5250
5250 = 2 x 3 x 5 x 5 x 5 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3932250 = 2 x 3 x 5 x 5 x 5 x 7 x 7 x 107
Step 4: Therefore, the least common multiple of 5243 and 5250 is 3932250.