Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9128 and 9136 the smallest integer that is 10424176 that is divisible by both numbers.
Least Common Multiple (LCM) of 9128 and 9136 is 10424176.
LCM(9128,9136) = 10424176
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 9128 and 9136. First we will calculate the prime factors of 9128 and 9136.
Prime Factorization of 9128
2 | 9128 |
2 | 4564 |
2 | 2282 |
7 | 1141 |
163 | 163 |
1 |
Prime factors of 9128 are 2, 7,163. Prime factorization of 9128 in exponential form is:
9128 = 23×71×1631
Prime Factorization of 9136
2 | 9136 |
2 | 4568 |
2 | 2284 |
2 | 1142 |
571 | 571 |
1 |
Prime factors of 9136 are 2,571. Prime factorization of 9136 in exponential form is:
9136 = 24×5711
Now multiplying the highest exponent prime factors to calculate the LCM of 9128 and 9136.
LCM(9128,9136) = 24×71×1631×5711
LCM(9128,9136) = 10424176
Factors of 9128
List of positive integer factors of 9128 that divides 9128 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128
Factors of 9136
List of positive integer factors of 9136 that divides 9136 without a remainder.
1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9128 and 9136, than apply into the LCM equation.
GCF(9128,9136) = 8
LCM(9128,9136) = ( 9128 × 9136) / 8
LCM(9128,9136) = 83393408 / 8
LCM(9128,9136) = 10424176
(i) The LCM of 9136 and 9128 is associative
LCM of 9128 and 9136 = LCM of 9136 and 9128
1. What is the LCM of 9128 and 9136?
Answer: LCM of 9128 and 9136 is 10424176.
2. What are the Factors of 9128?
Answer: Factors of 9128 are 1, 2, 4, 7, 8, 14, 28, 56, 163, 326, 652, 1141, 1304, 2282, 4564, 9128. There are 16 integers that are factors of 9128. The greatest factor of 9128 is 9128.
3. What are the Factors of 9136?
Answer: Factors of 9136 are 1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136. There are 10 integers that are factors of 9136. The greatest factor of 9136 is 9136.
4. How to Find the LCM of 9128 and 9136?
Answer:
Least Common Multiple of 9128 and 9136 = 10424176
Step 1: Find the prime factorization of 9128
9128 = 2 x 2 x 2 x 7 x 163
Step 2: Find the prime factorization of 9136
9136 = 2 x 2 x 2 x 2 x 571
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10424176 = 2 x 2 x 2 x 2 x 7 x 163 x 571
Step 4: Therefore, the least common multiple of 9128 and 9136 is 10424176.