Least Common Multiple of 11052 and 11059
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 11052 and 11059 the smallest integer that is 122224068 that is divisible by both numbers.
Least Common Multiple (LCM) of 11052 and 11059 is 122224068.
LCM(11052,11059) = 122224068
LCM of 11052 and 11059
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 11052 and 11059 by Prime method
- Least Common Multiple of 11052 and 11059 with GCF Formula
LCM of 11052 and 11059 is 122224068
Least common multiple can be found by multiplying the highest exponent prime factors of 11052 and 11059. First we will calculate the prime factors of 11052 and 11059.
Prime Factorization of 11052
| 2 | 11052 |
| 2 | 5526 |
| 3 | 2763 |
| 3 | 921 |
| 307 | 307 |
| 1 |
Prime factors of 11052 are 2, 3,307. Prime factorization of 11052 in exponential form is:
11052 = 22×32×3071
Prime Factorization of 11059
| 11059 | 11059 |
| 1 |
Prime factors of 11059 are 11059. Prime factorization of 11059 in exponential form is:
11059 = 110591
Now multiplying the highest exponent prime factors to calculate the LCM of 11052 and 11059.
LCM(11052,11059) = 22×32×3071×110591
LCM(11052,11059) = 122224068
Factors of 11052
List of positive integer factors of 11052 that divides 11052 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36, 307, 614, 921, 1228, 1842, 2763, 3684, 5526, 11052
Factors of 11059
List of positive integer factors of 11059 that divides 11059 without a remainder.
1, 11059
Least Common Multiple of 11052 and 11059 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11052 and 11059, than apply into the LCM equation.
GCF(11052,11059) = 1
LCM(11052,11059) = ( 11052 × 11059) / 1
LCM(11052,11059) = 122224068 / 1
LCM(11052,11059) = 122224068
Properties of LCM 11052 and 11059
(i) The LCM of 11059 and 11052 is associative
LCM of 11052 and 11059 = LCM of 11059 and 11052
Related Least Common Multiples of 11052
Related Least Common Multiples of 11059
Frequently Asked Questions on LCM of 11052 and 11059
1. What is the LCM of 11052 and 11059?
Answer: LCM of 11052 and 11059 is 122224068.
2. What are the Factors of 11052?
Answer: Factors of 11052 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 307, 614, 921, 1228, 1842, 2763, 3684, 5526, 11052. There are 18 integers that are factors of 11052. The greatest factor of 11052 is 11052.
3. What are the Factors of 11059?
Answer: Factors of 11059 are 1, 11059. There are 2 integers that are factors of 11059. The greatest factor of 11059 is 11059.
4. How to Find the LCM of 11052 and 11059?
Answer:
Least Common Multiple of 11052 and 11059 = 122224068
Step 1: Find the prime factorization of 11052
11052 = 2 x 2 x 3 x 3 x 307
Step 2: Find the prime factorization of 11059
11059 = 11059
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 122224068 = 2 x 2 x 3 x 3 x 307 x 11059
Step 4: Therefore, the least common multiple of 11052 and 11059 is 122224068.