Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9137 and 9144 the smallest integer that is 83548728 that is divisible by both numbers.
Least Common Multiple (LCM) of 9137 and 9144 is 83548728.
LCM(9137,9144) = 83548728
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 9137 and 9144. First we will calculate the prime factors of 9137 and 9144.
Prime Factorization of 9137
9137 | 9137 |
1 |
Prime factors of 9137 are 9137. Prime factorization of 9137 in exponential form is:
9137 = 91371
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 9137 and 9144.
LCM(9137,9144) = 23×32×1271×91371
LCM(9137,9144) = 83548728
Factors of 9137
List of positive integer factors of 9137 that divides 9137 without a remainder.
1, 9137
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 9137 and 9144, than apply into the LCM equation.
GCF(9137,9144) = 1
LCM(9137,9144) = ( 9137 × 9144) / 1
LCM(9137,9144) = 83548728 / 1
LCM(9137,9144) = 83548728
(i) The LCM of 9144 and 9137 is associative
LCM of 9137 and 9144 = LCM of 9144 and 9137
1. What is the LCM of 9137 and 9144?
Answer: LCM of 9137 and 9144 is 83548728.
2. What are the Factors of 9137?
Answer: Factors of 9137 are 1, 9137. There are 2 integers that are factors of 9137. The greatest factor of 9137 is 9137.
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 9137 and 9144?
Answer:
Least Common Multiple of 9137 and 9144 = 83548728
Step 1: Find the prime factorization of 9137
9137 = 9137
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 = 83548728 = 2 x 2 x 2 x 3 x 3 x 127 x 9137
Step 4: Therefore, the least common multiple of 9137 and 9144 is 83548728.