Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1044 and 1048 the smallest integer that is 273528 that is divisible by both numbers.
Least Common Multiple (LCM) of 1044 and 1048 is 273528.
LCM(1044,1048) = 273528
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 1044 and 1048. First we will calculate the prime factors of 1044 and 1048.
Prime Factorization of 1044
2 | 1044 |
2 | 522 |
3 | 261 |
3 | 87 |
29 | 29 |
1 |
Prime factors of 1044 are 2, 3,29. Prime factorization of 1044 in exponential form is:
1044 = 22×32×291
Prime Factorization of 1048
2 | 1048 |
2 | 524 |
2 | 262 |
131 | 131 |
1 |
Prime factors of 1048 are 2,131. Prime factorization of 1048 in exponential form is:
1048 = 23×1311
Now multiplying the highest exponent prime factors to calculate the LCM of 1044 and 1048.
LCM(1044,1048) = 23×32×291×1311
LCM(1044,1048) = 273528
Factors of 1044
List of positive integer factors of 1044 that divides 1044 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044
Factors of 1048
List of positive integer factors of 1048 that divides 1048 without a remainder.
1, 2, 4, 8, 131, 262, 524, 1048
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1044 and 1048, than apply into the LCM equation.
GCF(1044,1048) = 4
LCM(1044,1048) = ( 1044 × 1048) / 4
LCM(1044,1048) = 1094112 / 4
LCM(1044,1048) = 273528
(i) The LCM of 1048 and 1044 is associative
LCM of 1044 and 1048 = LCM of 1048 and 1044
1. What is the LCM of 1044 and 1048?
Answer: LCM of 1044 and 1048 is 273528.
2. What are the Factors of 1044?
Answer: Factors of 1044 are 1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 116, 174, 261, 348, 522, 1044. There are 18 integers that are factors of 1044. The greatest factor of 1044 is 1044.
3. What are the Factors of 1048?
Answer: Factors of 1048 are 1, 2, 4, 8, 131, 262, 524, 1048. There are 8 integers that are factors of 1048. The greatest factor of 1048 is 1048.
4. How to Find the LCM of 1044 and 1048?
Answer:
Least Common Multiple of 1044 and 1048 = 273528
Step 1: Find the prime factorization of 1044
1044 = 2 x 2 x 3 x 3 x 29
Step 2: Find the prime factorization of 1048
1048 = 2 x 2 x 2 x 131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 273528 = 2 x 2 x 2 x 3 x 3 x 29 x 131
Step 4: Therefore, the least common multiple of 1044 and 1048 is 273528.