Least Common Multiple of 5037 and 5043
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5037 and 5043 the smallest integer that is 8467197 that is divisible by both numbers.
Least Common Multiple (LCM) of 5037 and 5043 is 8467197.
LCM(5037,5043) = 8467197
LCM of 5037 and 5043
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5037 and 5043 by Prime method
- Least Common Multiple of 5037 and 5043 with GCF Formula
LCM of 5037 and 5043 is 8467197
Least common multiple can be found by multiplying the highest exponent prime factors of 5037 and 5043. First we will calculate the prime factors of 5037 and 5043.
Prime Factorization of 5037
| 3 | 5037 |
| 23 | 1679 |
| 73 | 73 |
| 1 |
Prime factors of 5037 are 3, 23,73. Prime factorization of 5037 in exponential form is:
5037 = 31×231×731
Prime Factorization of 5043
| 3 | 5043 |
| 41 | 1681 |
| 41 | 41 |
| 1 |
Prime factors of 5043 are 3,41. Prime factorization of 5043 in exponential form is:
5043 = 31×412
Now multiplying the highest exponent prime factors to calculate the LCM of 5037 and 5043.
LCM(5037,5043) = 31×231×412×731
LCM(5037,5043) = 8467197
Factors of 5037
List of positive integer factors of 5037 that divides 5037 without a remainder.
1, 3, 23, 69, 73, 219, 1679, 5037
Factors of 5043
List of positive integer factors of 5043 that divides 5043 without a remainder.
1, 3, 41, 123, 1681, 5043
Least Common Multiple of 5037 and 5043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5037 and 5043, than apply into the LCM equation.
GCF(5037,5043) = 3
LCM(5037,5043) = ( 5037 × 5043) / 3
LCM(5037,5043) = 25401591 / 3
LCM(5037,5043) = 8467197
Properties of LCM 5037 and 5043
(i) The LCM of 5043 and 5037 is associative
LCM of 5037 and 5043 = LCM of 5043 and 5037
Related Least Common Multiples of 5037
Related Least Common Multiples of 5043
Frequently Asked Questions on LCM of 5037 and 5043
1. What is the LCM of 5037 and 5043?
Answer: LCM of 5037 and 5043 is 8467197.
2. What are the Factors of 5037?
Answer: Factors of 5037 are 1, 3, 23, 69, 73, 219, 1679, 5037. There are 8 integers that are factors of 5037. The greatest factor of 5037 is 5037.
3. What are the Factors of 5043?
Answer: Factors of 5043 are 1, 3, 41, 123, 1681, 5043. There are 6 integers that are factors of 5043. The greatest factor of 5043 is 5043.
4. How to Find the LCM of 5037 and 5043?
Answer:
Least Common Multiple of 5037 and 5043 = 8467197
Step 1: Find the prime factorization of 5037
5037 = 3 x 23 x 73
Step 2: Find the prime factorization of 5043
5043 = 3 x 41 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8467197 = 3 x 23 x 41 x 41 x 73
Step 4: Therefore, the least common multiple of 5037 and 5043 is 8467197.