Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1094 and 1102 the smallest integer that is 602794 that is divisible by both numbers.
Least Common Multiple (LCM) of 1094 and 1102 is 602794.
LCM(1094,1102) = 602794
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 1094 and 1102. First we will calculate the prime factors of 1094 and 1102.
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
Prime Factorization of 1102
2 | 1102 |
19 | 551 |
29 | 29 |
1 |
Prime factors of 1102 are 2, 19,29. Prime factorization of 1102 in exponential form is:
1102 = 21×191×291
Now multiplying the highest exponent prime factors to calculate the LCM of 1094 and 1102.
LCM(1094,1102) = 21×191×291×5471
LCM(1094,1102) = 602794
Factors of 1094
List of positive integer factors of 1094 that divides 1094 without a remainder.
1, 2, 547, 1094
Factors of 1102
List of positive integer factors of 1102 that divides 1102 without a remainder.
1, 2, 19, 29, 38, 58, 551, 1102
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1094 and 1102, than apply into the LCM equation.
GCF(1094,1102) = 2
LCM(1094,1102) = ( 1094 × 1102) / 2
LCM(1094,1102) = 1205588 / 2
LCM(1094,1102) = 602794
(i) The LCM of 1102 and 1094 is associative
LCM of 1094 and 1102 = LCM of 1102 and 1094
1. What is the LCM of 1094 and 1102?
Answer: LCM of 1094 and 1102 is 602794.
2. 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.
3. What are the Factors of 1102?
Answer: Factors of 1102 are 1, 2, 19, 29, 38, 58, 551, 1102. There are 8 integers that are factors of 1102. The greatest factor of 1102 is 1102.
4. How to Find the LCM of 1094 and 1102?
Answer:
Least Common Multiple of 1094 and 1102 = 602794
Step 1: Find the prime factorization of 1094
1094 = 2 x 547
Step 2: Find the prime factorization of 1102
1102 = 2 x 19 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 = 602794 = 2 x 19 x 29 x 547
Step 4: Therefore, the least common multiple of 1094 and 1102 is 602794.