Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9044 and 9048 the smallest integer that is 20457528 that is divisible by both numbers.
Least Common Multiple (LCM) of 9044 and 9048 is 20457528.
LCM(9044,9048) = 20457528
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 9044 and 9048. First we will calculate the prime factors of 9044 and 9048.
Prime Factorization of 9044
2 | 9044 |
2 | 4522 |
7 | 2261 |
17 | 323 |
19 | 19 |
1 |
Prime factors of 9044 are 2, 7, 17,19. Prime factorization of 9044 in exponential form is:
9044 = 22×71×171×191
Prime Factorization of 9048
2 | 9048 |
2 | 4524 |
2 | 2262 |
3 | 1131 |
13 | 377 |
29 | 29 |
1 |
Prime factors of 9048 are 2, 3, 13,29. Prime factorization of 9048 in exponential form is:
9048 = 23×31×131×291
Now multiplying the highest exponent prime factors to calculate the LCM of 9044 and 9048.
LCM(9044,9048) = 23×31×71×131×171×191×291
LCM(9044,9048) = 20457528
Factors of 9044
List of positive integer factors of 9044 that divides 9044 without a remainder.
1, 2, 4, 7, 14, 17, 19, 28, 34, 38, 68, 76, 119, 133, 238, 266, 323, 476, 532, 646, 1292, 2261, 4522, 9044
Factors of 9048
List of positive integer factors of 9048 that divides 9048 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9044 and 9048, than apply into the LCM equation.
GCF(9044,9048) = 4
LCM(9044,9048) = ( 9044 × 9048) / 4
LCM(9044,9048) = 81830112 / 4
LCM(9044,9048) = 20457528
(i) The LCM of 9048 and 9044 is associative
LCM of 9044 and 9048 = LCM of 9048 and 9044
1. What is the LCM of 9044 and 9048?
Answer: LCM of 9044 and 9048 is 20457528.
2. What are the Factors of 9044?
Answer: Factors of 9044 are 1, 2, 4, 7, 14, 17, 19, 28, 34, 38, 68, 76, 119, 133, 238, 266, 323, 476, 532, 646, 1292, 2261, 4522, 9044. There are 24 integers that are factors of 9044. The greatest factor of 9044 is 9044.
3. What are the Factors of 9048?
Answer: Factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048. There are 32 integers that are factors of 9048. The greatest factor of 9048 is 9048.
4. How to Find the LCM of 9044 and 9048?
Answer:
Least Common Multiple of 9044 and 9048 = 20457528
Step 1: Find the prime factorization of 9044
9044 = 2 x 2 x 7 x 17 x 19
Step 2: Find the prime factorization of 9048
9048 = 2 x 2 x 2 x 3 x 13 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20457528 = 2 x 2 x 2 x 3 x 7 x 13 x 17 x 19 x 29
Step 4: Therefore, the least common multiple of 9044 and 9048 is 20457528.