Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8132 and 8136 the smallest integer that is 16540488 that is divisible by both numbers.
Least Common Multiple (LCM) of 8132 and 8136 is 16540488.
LCM(8132,8136) = 16540488
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 8132 and 8136. First we will calculate the prime factors of 8132 and 8136.
Prime Factorization of 8132
2 | 8132 |
2 | 4066 |
19 | 2033 |
107 | 107 |
1 |
Prime factors of 8132 are 2, 19,107. Prime factorization of 8132 in exponential form is:
8132 = 22×191×1071
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 8132 and 8136.
LCM(8132,8136) = 23×32×191×1071×1131
LCM(8132,8136) = 16540488
Factors of 8132
List of positive integer factors of 8132 that divides 8132 without a remainder.
1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132
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 8132 and 8136, than apply into the LCM equation.
GCF(8132,8136) = 4
LCM(8132,8136) = ( 8132 × 8136) / 4
LCM(8132,8136) = 66161952 / 4
LCM(8132,8136) = 16540488
(i) The LCM of 8136 and 8132 is associative
LCM of 8132 and 8136 = LCM of 8136 and 8132
1. What is the LCM of 8132 and 8136?
Answer: LCM of 8132 and 8136 is 16540488.
2. What are the Factors of 8132?
Answer: Factors of 8132 are 1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132. There are 12 integers that are factors of 8132. The greatest factor of 8132 is 8132.
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 8132 and 8136?
Answer:
Least Common Multiple of 8132 and 8136 = 16540488
Step 1: Find the prime factorization of 8132
8132 = 2 x 2 x 19 x 107
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 = 16540488 = 2 x 2 x 2 x 3 x 3 x 19 x 107 x 113
Step 4: Therefore, the least common multiple of 8132 and 8136 is 16540488.