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 1050 the smallest integer that is 182700 that is divisible by both numbers.
Least Common Multiple (LCM) of 1044 and 1050 is 182700.
LCM(1044,1050) = 182700
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 1050. First we will calculate the prime factors of 1044 and 1050.
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 1050
2 | 1050 |
3 | 525 |
5 | 175 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 1050 are 2, 3, 5,7. Prime factorization of 1050 in exponential form is:
1050 = 21×31×52×71
Now multiplying the highest exponent prime factors to calculate the LCM of 1044 and 1050.
LCM(1044,1050) = 22×32×52×71×291
LCM(1044,1050) = 182700
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 1050
List of positive integer factors of 1050 that divides 1050 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1044 and 1050, than apply into the LCM equation.
GCF(1044,1050) = 6
LCM(1044,1050) = ( 1044 × 1050) / 6
LCM(1044,1050) = 1096200 / 6
LCM(1044,1050) = 182700
(i) The LCM of 1050 and 1044 is associative
LCM of 1044 and 1050 = LCM of 1050 and 1044
1. What is the LCM of 1044 and 1050?
Answer: LCM of 1044 and 1050 is 182700.
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 1050?
Answer: Factors of 1050 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050. There are 24 integers that are factors of 1050. The greatest factor of 1050 is 1050.
4. How to Find the LCM of 1044 and 1050?
Answer:
Least Common Multiple of 1044 and 1050 = 182700
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 1050
1050 = 2 x 3 x 5 x 5 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 182700 = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 29
Step 4: Therefore, the least common multiple of 1044 and 1050 is 182700.