Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 11066 and 11072 the smallest integer that is 61261376 that is divisible by both numbers.
Least Common Multiple (LCM) of 11066 and 11072 is 61261376.
LCM(11066,11072) = 61261376
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 11066 and 11072. First we will calculate the prime factors of 11066 and 11072.
Prime Factorization of 11066
2 | 11066 |
11 | 5533 |
503 | 503 |
1 |
Prime factors of 11066 are 2, 11,503. Prime factorization of 11066 in exponential form is:
11066 = 21×111×5031
Prime Factorization of 11072
2 | 11072 |
2 | 5536 |
2 | 2768 |
2 | 1384 |
2 | 692 |
2 | 346 |
173 | 173 |
1 |
Prime factors of 11072 are 2,173. Prime factorization of 11072 in exponential form is:
11072 = 26×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 11066 and 11072.
LCM(11066,11072) = 26×111×1731×5031
LCM(11066,11072) = 61261376
Factors of 11066
List of positive integer factors of 11066 that divides 11066 without a remainder.
1, 2, 11, 22, 503, 1006, 5533, 11066
Factors of 11072
List of positive integer factors of 11072 that divides 11072 without a remainder.
1, 2, 4, 8, 16, 32, 64, 173, 346, 692, 1384, 2768, 5536, 11072
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11066 and 11072, than apply into the LCM equation.
GCF(11066,11072) = 2
LCM(11066,11072) = ( 11066 × 11072) / 2
LCM(11066,11072) = 122522752 / 2
LCM(11066,11072) = 61261376
(i) The LCM of 11072 and 11066 is associative
LCM of 11066 and 11072 = LCM of 11072 and 11066
1. What is the LCM of 11066 and 11072?
Answer: LCM of 11066 and 11072 is 61261376.
2. What are the Factors of 11066?
Answer: Factors of 11066 are 1, 2, 11, 22, 503, 1006, 5533, 11066. There are 8 integers that are factors of 11066. The greatest factor of 11066 is 11066.
3. What are the Factors of 11072?
Answer: Factors of 11072 are 1, 2, 4, 8, 16, 32, 64, 173, 346, 692, 1384, 2768, 5536, 11072. There are 14 integers that are factors of 11072. The greatest factor of 11072 is 11072.
4. How to Find the LCM of 11066 and 11072?
Answer:
Least Common Multiple of 11066 and 11072 = 61261376
Step 1: Find the prime factorization of 11066
11066 = 2 x 11 x 503
Step 2: Find the prime factorization of 11072
11072 = 2 x 2 x 2 x 2 x 2 x 2 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 61261376 = 2 x 2 x 2 x 2 x 2 x 2 x 11 x 173 x 503
Step 4: Therefore, the least common multiple of 11066 and 11072 is 61261376.