Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8131 and 8136 the smallest integer that is 66153816 that is divisible by both numbers.
Least Common Multiple (LCM) of 8131 and 8136 is 66153816.
LCM(8131,8136) = 66153816
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 8131 and 8136. First we will calculate the prime factors of 8131 and 8136.
Prime Factorization of 8131
47 | 8131 |
173 | 173 |
1 |
Prime factors of 8131 are 47,173. Prime factorization of 8131 in exponential form is:
8131 = 471×1731
Prime Factorization of 8136
2 | 8136 |
2 | 4068 |
2 | 2034 |
3 | 1017 |
3 | 339 |
113 | 113 |
1 |
Prime factors of 8136 are 2, 3,113. Prime factorization of 8136 in exponential form is:
8136 = 23×32×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 8131 and 8136.
LCM(8131,8136) = 23×32×471×1131×1731
LCM(8131,8136) = 66153816
Factors of 8131
List of positive integer factors of 8131 that divides 8131 without a remainder.
1, 47, 173, 8131
Factors of 8136
List of positive integer factors of 8136 that divides 8136 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8131 and 8136, than apply into the LCM equation.
GCF(8131,8136) = 1
LCM(8131,8136) = ( 8131 × 8136) / 1
LCM(8131,8136) = 66153816 / 1
LCM(8131,8136) = 66153816
(i) The LCM of 8136 and 8131 is associative
LCM of 8131 and 8136 = LCM of 8136 and 8131
1. What is the LCM of 8131 and 8136?
Answer: LCM of 8131 and 8136 is 66153816.
2. What are the Factors of 8131?
Answer: Factors of 8131 are 1, 47, 173, 8131. There are 4 integers that are factors of 8131. The greatest factor of 8131 is 8131.
3. What are the Factors of 8136?
Answer: Factors of 8136 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136. There are 24 integers that are factors of 8136. The greatest factor of 8136 is 8136.
4. How to Find the LCM of 8131 and 8136?
Answer:
Least Common Multiple of 8131 and 8136 = 66153816
Step 1: Find the prime factorization of 8131
8131 = 47 x 173
Step 2: Find the prime factorization of 8136
8136 = 2 x 2 x 2 x 3 x 3 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66153816 = 2 x 2 x 2 x 3 x 3 x 47 x 113 x 173
Step 4: Therefore, the least common multiple of 8131 and 8136 is 66153816.