Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1088 and 1094 the smallest integer that is 595136 that is divisible by both numbers.
Least Common Multiple (LCM) of 1088 and 1094 is 595136.
LCM(1088,1094) = 595136
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 1088 and 1094. First we will calculate the prime factors of 1088 and 1094.
Prime Factorization of 1088
2 | 1088 |
2 | 544 |
2 | 272 |
2 | 136 |
2 | 68 |
2 | 34 |
17 | 17 |
1 |
Prime factors of 1088 are 2,17. Prime factorization of 1088 in exponential form is:
1088 = 26×171
Prime Factorization of 1094
2 | 1094 |
547 | 547 |
1 |
Prime factors of 1094 are 2,547. Prime factorization of 1094 in exponential form is:
1094 = 21×5471
Now multiplying the highest exponent prime factors to calculate the LCM of 1088 and 1094.
LCM(1088,1094) = 26×171×5471
LCM(1088,1094) = 595136
Factors of 1088
List of positive integer factors of 1088 that divides 1088 without a remainder.
1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088
Factors of 1094
List of positive integer factors of 1094 that divides 1094 without a remainder.
1, 2, 547, 1094
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1088 and 1094, than apply into the LCM equation.
GCF(1088,1094) = 2
LCM(1088,1094) = ( 1088 × 1094) / 2
LCM(1088,1094) = 1190272 / 2
LCM(1088,1094) = 595136
(i) The LCM of 1094 and 1088 is associative
LCM of 1088 and 1094 = LCM of 1094 and 1088
1. What is the LCM of 1088 and 1094?
Answer: LCM of 1088 and 1094 is 595136.
2. What are the Factors of 1088?
Answer: Factors of 1088 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 544, 1088. There are 14 integers that are factors of 1088. The greatest factor of 1088 is 1088.
3. What are the Factors of 1094?
Answer: Factors of 1094 are 1, 2, 547, 1094. There are 4 integers that are factors of 1094. The greatest factor of 1094 is 1094.
4. How to Find the LCM of 1088 and 1094?
Answer:
Least Common Multiple of 1088 and 1094 = 595136
Step 1: Find the prime factorization of 1088
1088 = 2 x 2 x 2 x 2 x 2 x 2 x 17
Step 2: Find the prime factorization of 1094
1094 = 2 x 547
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 595136 = 2 x 2 x 2 x 2 x 2 x 2 x 17 x 547
Step 4: Therefore, the least common multiple of 1088 and 1094 is 595136.