Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9136 and 9144 the smallest integer that is 10442448 that is divisible by both numbers.
Least Common Multiple (LCM) of 9136 and 9144 is 10442448.
LCM(9136,9144) = 10442448
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 9136 and 9144. First we will calculate the prime factors of 9136 and 9144.
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
Prime Factorization of 9144
2 | 9144 |
2 | 4572 |
2 | 2286 |
3 | 1143 |
3 | 381 |
127 | 127 |
1 |
Prime factors of 9144 are 2, 3,127. Prime factorization of 9144 in exponential form is:
9144 = 23×32×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 9136 and 9144.
LCM(9136,9144) = 24×32×1271×5711
LCM(9136,9144) = 10442448
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
Factors of 9144
List of positive integer factors of 9144 that divides 9144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9136 and 9144, than apply into the LCM equation.
GCF(9136,9144) = 8
LCM(9136,9144) = ( 9136 × 9144) / 8
LCM(9136,9144) = 83539584 / 8
LCM(9136,9144) = 10442448
(i) The LCM of 9144 and 9136 is associative
LCM of 9136 and 9144 = LCM of 9144 and 9136
1. What is the LCM of 9136 and 9144?
Answer: LCM of 9136 and 9144 is 10442448.
2. 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.
3. What are the Factors of 9144?
Answer: Factors of 9144 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 127, 254, 381, 508, 762, 1016, 1143, 1524, 2286, 3048, 4572, 9144. There are 24 integers that are factors of 9144. The greatest factor of 9144 is 9144.
4. How to Find the LCM of 9136 and 9144?
Answer:
Least Common Multiple of 9136 and 9144 = 10442448
Step 1: Find the prime factorization of 9136
9136 = 2 x 2 x 2 x 2 x 571
Step 2: Find the prime factorization of 9144
9144 = 2 x 2 x 2 x 3 x 3 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10442448 = 2 x 2 x 2 x 2 x 3 x 3 x 127 x 571
Step 4: Therefore, the least common multiple of 9136 and 9144 is 10442448.