Least Common Multiple of 1102 and 1109
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1102 and 1109 the smallest integer that is 1222118 that is divisible by both numbers.
Least Common Multiple (LCM) of 1102 and 1109 is 1222118.
LCM(1102,1109) = 1222118
LCM of 1102 and 1109
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1102 and 1109 by Prime method
- Least Common Multiple of 1102 and 1109 with GCF Formula
LCM of 1102 and 1109 is 1222118
Least common multiple can be found by multiplying the highest exponent prime factors of 1102 and 1109. First we will calculate the prime factors of 1102 and 1109.
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
Prime Factorization of 1109
| 1109 | 1109 |
| 1 |
Prime factors of 1109 are 1109. Prime factorization of 1109 in exponential form is:
1109 = 11091
Now multiplying the highest exponent prime factors to calculate the LCM of 1102 and 1109.
LCM(1102,1109) = 21×191×291×11091
LCM(1102,1109) = 1222118
Factors of 1102
List of positive integer factors of 1102 that divides 1102 without a remainder.
1, 2, 19, 29, 38, 58, 551, 1102
Factors of 1109
List of positive integer factors of 1109 that divides 1109 without a remainder.
1, 1109
Least Common Multiple of 1102 and 1109 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1102 and 1109, than apply into the LCM equation.
GCF(1102,1109) = 1
LCM(1102,1109) = ( 1102 × 1109) / 1
LCM(1102,1109) = 1222118 / 1
LCM(1102,1109) = 1222118
Properties of LCM 1102 and 1109
(i) The LCM of 1109 and 1102 is associative
LCM of 1102 and 1109 = LCM of 1109 and 1102
Related Least Common Multiples of 1102
Related Least Common Multiples of 1109
Frequently Asked Questions on LCM of 1102 and 1109
1. What is the LCM of 1102 and 1109?
Answer: LCM of 1102 and 1109 is 1222118.
2. 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.
3. What are the Factors of 1109?
Answer: Factors of 1109 are 1, 1109. There are 2 integers that are factors of 1109. The greatest factor of 1109 is 1109.
4. How to Find the LCM of 1102 and 1109?
Answer:
Least Common Multiple of 1102 and 1109 = 1222118
Step 1: Find the prime factorization of 1102
1102 = 2 x 19 x 29
Step 2: Find the prime factorization of 1109
1109 = 1109
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1222118 = 2 x 19 x 29 x 1109
Step 4: Therefore, the least common multiple of 1102 and 1109 is 1222118.