Least Common Multiple of 5069 and 5073
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5069 and 5073 the smallest integer that is 25715037 that is divisible by both numbers.
Least Common Multiple (LCM) of 5069 and 5073 is 25715037.
LCM(5069,5073) = 25715037
LCM of 5069 and 5073
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5069 and 5073 by Prime method
- Least Common Multiple of 5069 and 5073 with GCF Formula
LCM of 5069 and 5073 is 25715037
Least common multiple can be found by multiplying the highest exponent prime factors of 5069 and 5073. First we will calculate the prime factors of 5069 and 5073.
Prime Factorization of 5069
| 37 | 5069 |
| 137 | 137 |
| 1 |
Prime factors of 5069 are 37,137. Prime factorization of 5069 in exponential form is:
5069 = 371×1371
Prime Factorization of 5073
| 3 | 5073 |
| 19 | 1691 |
| 89 | 89 |
| 1 |
Prime factors of 5073 are 3, 19,89. Prime factorization of 5073 in exponential form is:
5073 = 31×191×891
Now multiplying the highest exponent prime factors to calculate the LCM of 5069 and 5073.
LCM(5069,5073) = 31×191×371×891×1371
LCM(5069,5073) = 25715037
Factors of 5069
List of positive integer factors of 5069 that divides 5069 without a remainder.
1, 37, 137, 5069
Factors of 5073
List of positive integer factors of 5073 that divides 5073 without a remainder.
1, 3, 19, 57, 89, 267, 1691, 5073
Least Common Multiple of 5069 and 5073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5069 and 5073, than apply into the LCM equation.
GCF(5069,5073) = 1
LCM(5069,5073) = ( 5069 × 5073) / 1
LCM(5069,5073) = 25715037 / 1
LCM(5069,5073) = 25715037
Properties of LCM 5069 and 5073
(i) The LCM of 5073 and 5069 is associative
LCM of 5069 and 5073 = LCM of 5073 and 5069
Related Least Common Multiples of 5069
Related Least Common Multiples of 5073
Frequently Asked Questions on LCM of 5069 and 5073
1. What is the LCM of 5069 and 5073?
Answer: LCM of 5069 and 5073 is 25715037.
2. What are the Factors of 5069?
Answer: Factors of 5069 are 1, 37, 137, 5069. There are 4 integers that are factors of 5069. The greatest factor of 5069 is 5069.
3. What are the Factors of 5073?
Answer: Factors of 5073 are 1, 3, 19, 57, 89, 267, 1691, 5073. There are 8 integers that are factors of 5073. The greatest factor of 5073 is 5073.
4. How to Find the LCM of 5069 and 5073?
Answer:
Least Common Multiple of 5069 and 5073 = 25715037
Step 1: Find the prime factorization of 5069
5069 = 37 x 137
Step 2: Find the prime factorization of 5073
5073 = 3 x 19 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25715037 = 3 x 19 x 37 x 89 x 137
Step 4: Therefore, the least common multiple of 5069 and 5073 is 25715037.