Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5086 and 5092 the smallest integer that is 12948956 that is divisible by both numbers.
Least Common Multiple (LCM) of 5086 and 5092 is 12948956.
LCM(5086,5092) = 12948956
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5086 and 5092. First we will calculate the prime factors of 5086 and 5092.
Prime Factorization of 5086
2 | 5086 |
2543 | 2543 |
1 |
Prime factors of 5086 are 2,2543. Prime factorization of 5086 in exponential form is:
5086 = 21×25431
Prime Factorization of 5092
2 | 5092 |
2 | 2546 |
19 | 1273 |
67 | 67 |
1 |
Prime factors of 5092 are 2, 19,67. Prime factorization of 5092 in exponential form is:
5092 = 22×191×671
Now multiplying the highest exponent prime factors to calculate the LCM of 5086 and 5092.
LCM(5086,5092) = 22×191×671×25431
LCM(5086,5092) = 12948956
Factors of 5086
List of positive integer factors of 5086 that divides 5086 without a remainder.
1, 2, 2543, 5086
Factors of 5092
List of positive integer factors of 5092 that divides 5092 without a remainder.
1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546, 5092
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5086 and 5092, than apply into the LCM equation.
GCF(5086,5092) = 2
LCM(5086,5092) = ( 5086 × 5092) / 2
LCM(5086,5092) = 25897912 / 2
LCM(5086,5092) = 12948956
(i) The LCM of 5092 and 5086 is associative
LCM of 5086 and 5092 = LCM of 5092 and 5086
1. What is the LCM of 5086 and 5092?
Answer: LCM of 5086 and 5092 is 12948956.
2. What are the Factors of 5086?
Answer: Factors of 5086 are 1, 2, 2543, 5086. There are 4 integers that are factors of 5086. The greatest factor of 5086 is 5086.
3. What are the Factors of 5092?
Answer: Factors of 5092 are 1, 2, 4, 19, 38, 67, 76, 134, 268, 1273, 2546, 5092. There are 12 integers that are factors of 5092. The greatest factor of 5092 is 5092.
4. How to Find the LCM of 5086 and 5092?
Answer:
Least Common Multiple of 5086 and 5092 = 12948956
Step 1: Find the prime factorization of 5086
5086 = 2 x 2543
Step 2: Find the prime factorization of 5092
5092 = 2 x 2 x 19 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12948956 = 2 x 2 x 19 x 67 x 2543
Step 4: Therefore, the least common multiple of 5086 and 5092 is 12948956.