Least Common Multiple of 5066 and 5071
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5066 and 5071 the smallest integer that is 25689686 that is divisible by both numbers.
Least Common Multiple (LCM) of 5066 and 5071 is 25689686.
LCM(5066,5071) = 25689686
LCM of 5066 and 5071
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5066 and 5071 by Prime method
- Least Common Multiple of 5066 and 5071 with GCF Formula
LCM of 5066 and 5071 is 25689686
Least common multiple can be found by multiplying the highest exponent prime factors of 5066 and 5071. First we will calculate the prime factors of 5066 and 5071.
Prime Factorization of 5066
| 2 | 5066 |
| 17 | 2533 |
| 149 | 149 |
| 1 |
Prime factors of 5066 are 2, 17,149. Prime factorization of 5066 in exponential form is:
5066 = 21×171×1491
Prime Factorization of 5071
| 11 | 5071 |
| 461 | 461 |
| 1 |
Prime factors of 5071 are 11,461. Prime factorization of 5071 in exponential form is:
5071 = 111×4611
Now multiplying the highest exponent prime factors to calculate the LCM of 5066 and 5071.
LCM(5066,5071) = 21×111×171×1491×4611
LCM(5066,5071) = 25689686
Factors of 5066
List of positive integer factors of 5066 that divides 5066 without a remainder.
1, 2, 17, 34, 149, 298, 2533, 5066
Factors of 5071
List of positive integer factors of 5071 that divides 5071 without a remainder.
1, 11, 461, 5071
Least Common Multiple of 5066 and 5071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5066 and 5071, than apply into the LCM equation.
GCF(5066,5071) = 1
LCM(5066,5071) = ( 5066 × 5071) / 1
LCM(5066,5071) = 25689686 / 1
LCM(5066,5071) = 25689686
Properties of LCM 5066 and 5071
(i) The LCM of 5071 and 5066 is associative
LCM of 5066 and 5071 = LCM of 5071 and 5066
Related Least Common Multiples of 5066
Related Least Common Multiples of 5071
Frequently Asked Questions on LCM of 5066 and 5071
1. What is the LCM of 5066 and 5071?
Answer: LCM of 5066 and 5071 is 25689686.
2. What are the Factors of 5066?
Answer: Factors of 5066 are 1, 2, 17, 34, 149, 298, 2533, 5066. There are 8 integers that are factors of 5066. The greatest factor of 5066 is 5066.
3. What are the Factors of 5071?
Answer: Factors of 5071 are 1, 11, 461, 5071. There are 4 integers that are factors of 5071. The greatest factor of 5071 is 5071.
4. How to Find the LCM of 5066 and 5071?
Answer:
Least Common Multiple of 5066 and 5071 = 25689686
Step 1: Find the prime factorization of 5066
5066 = 2 x 17 x 149
Step 2: Find the prime factorization of 5071
5071 = 11 x 461
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25689686 = 2 x 11 x 17 x 149 x 461
Step 4: Therefore, the least common multiple of 5066 and 5071 is 25689686.