Least Common Multiple of 11067 and 11074
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 11067 and 11074 the smallest integer that is 17507994 that is divisible by both numbers.
Least Common Multiple (LCM) of 11067 and 11074 is 17507994.
LCM(11067,11074) = 17507994
LCM of 11067 and 11074
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 11067 and 11074 by Prime method
- Least Common Multiple of 11067 and 11074 with GCF Formula
LCM of 11067 and 11074 is 17507994
Least common multiple can be found by multiplying the highest exponent prime factors of 11067 and 11074. First we will calculate the prime factors of 11067 and 11074.
Prime Factorization of 11067
| 3 | 11067 |
| 7 | 3689 |
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 11067 are 3, 7, 17,31. Prime factorization of 11067 in exponential form is:
11067 = 31×71×171×311
Prime Factorization of 11074
| 2 | 11074 |
| 7 | 5537 |
| 7 | 791 |
| 113 | 113 |
| 1 |
Prime factors of 11074 are 2, 7,113. Prime factorization of 11074 in exponential form is:
11074 = 21×72×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 11067 and 11074.
LCM(11067,11074) = 21×31×72×171×311×1131
LCM(11067,11074) = 17507994
Factors of 11067
List of positive integer factors of 11067 that divides 11067 without a remainder.
1, 3, 7, 17, 21, 31, 51, 93, 119, 217, 357, 527, 651, 1581, 3689, 11067
Factors of 11074
List of positive integer factors of 11074 that divides 11074 without a remainder.
1, 2, 7, 14, 49, 98, 113, 226, 791, 1582, 5537, 11074
Least Common Multiple of 11067 and 11074 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11067 and 11074, than apply into the LCM equation.
GCF(11067,11074) = 7
LCM(11067,11074) = ( 11067 × 11074) / 7
LCM(11067,11074) = 122555958 / 7
LCM(11067,11074) = 17507994
Properties of LCM 11067 and 11074
(i) The LCM of 11074 and 11067 is associative
LCM of 11067 and 11074 = LCM of 11074 and 11067
Related Least Common Multiples of 11067
Related Least Common Multiples of 11074
Frequently Asked Questions on LCM of 11067 and 11074
1. What is the LCM of 11067 and 11074?
Answer: LCM of 11067 and 11074 is 17507994.
2. What are the Factors of 11067?
Answer: Factors of 11067 are 1, 3, 7, 17, 21, 31, 51, 93, 119, 217, 357, 527, 651, 1581, 3689, 11067. There are 16 integers that are factors of 11067. The greatest factor of 11067 is 11067.
3. What are the Factors of 11074?
Answer: Factors of 11074 are 1, 2, 7, 14, 49, 98, 113, 226, 791, 1582, 5537, 11074. There are 12 integers that are factors of 11074. The greatest factor of 11074 is 11074.
4. How to Find the LCM of 11067 and 11074?
Answer:
Least Common Multiple of 11067 and 11074 = 17507994
Step 1: Find the prime factorization of 11067
11067 = 3 x 7 x 17 x 31
Step 2: Find the prime factorization of 11074
11074 = 2 x 7 x 7 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 17507994 = 2 x 3 x 7 x 7 x 17 x 31 x 113
Step 4: Therefore, the least common multiple of 11067 and 11074 is 17507994.