Least Common Multiple of 5069 and 5074
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 5074 the smallest integer that is 25720106 that is divisible by both numbers.
Least Common Multiple (LCM) of 5069 and 5074 is 25720106.
LCM(5069,5074) = 25720106
LCM of 5069 and 5074
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5069 and 5074 by Prime method
- Least Common Multiple of 5069 and 5074 with GCF Formula
LCM of 5069 and 5074 is 25720106
Least common multiple can be found by multiplying the highest exponent prime factors of 5069 and 5074. First we will calculate the prime factors of 5069 and 5074.
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 5074
| 2 | 5074 |
| 43 | 2537 |
| 59 | 59 |
| 1 |
Prime factors of 5074 are 2, 43,59. Prime factorization of 5074 in exponential form is:
5074 = 21×431×591
Now multiplying the highest exponent prime factors to calculate the LCM of 5069 and 5074.
LCM(5069,5074) = 21×371×431×591×1371
LCM(5069,5074) = 25720106
Factors of 5069
List of positive integer factors of 5069 that divides 5069 without a remainder.
1, 37, 137, 5069
Factors of 5074
List of positive integer factors of 5074 that divides 5074 without a remainder.
1, 2, 43, 59, 86, 118, 2537, 5074
Least Common Multiple of 5069 and 5074 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 5074, than apply into the LCM equation.
GCF(5069,5074) = 1
LCM(5069,5074) = ( 5069 × 5074) / 1
LCM(5069,5074) = 25720106 / 1
LCM(5069,5074) = 25720106
Properties of LCM 5069 and 5074
(i) The LCM of 5074 and 5069 is associative
LCM of 5069 and 5074 = LCM of 5074 and 5069
Related Least Common Multiples of 5069
Related Least Common Multiples of 5074
Frequently Asked Questions on LCM of 5069 and 5074
1. What is the LCM of 5069 and 5074?
Answer: LCM of 5069 and 5074 is 25720106.
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 5074?
Answer: Factors of 5074 are 1, 2, 43, 59, 86, 118, 2537, 5074. There are 8 integers that are factors of 5074. The greatest factor of 5074 is 5074.
4. How to Find the LCM of 5069 and 5074?
Answer:
Least Common Multiple of 5069 and 5074 = 25720106
Step 1: Find the prime factorization of 5069
5069 = 37 x 137
Step 2: Find the prime factorization of 5074
5074 = 2 x 43 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25720106 = 2 x 37 x 43 x 59 x 137
Step 4: Therefore, the least common multiple of 5069 and 5074 is 25720106.