Least Common Multiple of 11071 and 11077
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 11071 and 11077 the smallest integer that is 122633467 that is divisible by both numbers.
Least Common Multiple (LCM) of 11071 and 11077 is 122633467.
LCM(11071,11077) = 122633467
LCM of 11071 and 11077
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 11071 and 11077 by Prime method
- Least Common Multiple of 11071 and 11077 with GCF Formula
LCM of 11071 and 11077 is 122633467
Least common multiple can be found by multiplying the highest exponent prime factors of 11071 and 11077. First we will calculate the prime factors of 11071 and 11077.
Prime Factorization of 11071
| 11071 | 11071 |
| 1 |
Prime factors of 11071 are 11071. Prime factorization of 11071 in exponential form is:
11071 = 110711
Prime Factorization of 11077
| 11 | 11077 |
| 19 | 1007 |
| 53 | 53 |
| 1 |
Prime factors of 11077 are 11, 19,53. Prime factorization of 11077 in exponential form is:
11077 = 111×191×531
Now multiplying the highest exponent prime factors to calculate the LCM of 11071 and 11077.
LCM(11071,11077) = 111×191×531×110711
LCM(11071,11077) = 122633467
Factors of 11071
List of positive integer factors of 11071 that divides 11071 without a remainder.
1, 11071
Factors of 11077
List of positive integer factors of 11077 that divides 11077 without a remainder.
1, 11, 19, 53, 209, 583, 1007, 11077
Least Common Multiple of 11071 and 11077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11071 and 11077, than apply into the LCM equation.
GCF(11071,11077) = 1
LCM(11071,11077) = ( 11071 × 11077) / 1
LCM(11071,11077) = 122633467 / 1
LCM(11071,11077) = 122633467
Properties of LCM 11071 and 11077
(i) The LCM of 11077 and 11071 is associative
LCM of 11071 and 11077 = LCM of 11077 and 11071
Related Least Common Multiples of 11071
Related Least Common Multiples of 11077
Frequently Asked Questions on LCM of 11071 and 11077
1. What is the LCM of 11071 and 11077?
Answer: LCM of 11071 and 11077 is 122633467.
2. What are the Factors of 11071?
Answer: Factors of 11071 are 1, 11071. There are 2 integers that are factors of 11071. The greatest factor of 11071 is 11071.
3. What are the Factors of 11077?
Answer: Factors of 11077 are 1, 11, 19, 53, 209, 583, 1007, 11077. There are 8 integers that are factors of 11077. The greatest factor of 11077 is 11077.
4. How to Find the LCM of 11071 and 11077?
Answer:
Least Common Multiple of 11071 and 11077 = 122633467
Step 1: Find the prime factorization of 11071
11071 = 11071
Step 2: Find the prime factorization of 11077
11077 = 11 x 19 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 122633467 = 11 x 19 x 53 x 11071
Step 4: Therefore, the least common multiple of 11071 and 11077 is 122633467.