Least Common Multiple of 1059 and 1067
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1059 and 1067 the smallest integer that is 1129953 that is divisible by both numbers.
Least Common Multiple (LCM) of 1059 and 1067 is 1129953.
LCM(1059,1067) = 1129953
LCM of 1059 and 1067
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1059 and 1067 by Prime method
- Least Common Multiple of 1059 and 1067 with GCF Formula
LCM of 1059 and 1067 is 1129953
Least common multiple can be found by multiplying the highest exponent prime factors of 1059 and 1067. First we will calculate the prime factors of 1059 and 1067.
Prime Factorization of 1059
| 3 | 1059 |
| 353 | 353 |
| 1 |
Prime factors of 1059 are 3,353. Prime factorization of 1059 in exponential form is:
1059 = 31×3531
Prime Factorization of 1067
| 11 | 1067 |
| 97 | 97 |
| 1 |
Prime factors of 1067 are 11,97. Prime factorization of 1067 in exponential form is:
1067 = 111×971
Now multiplying the highest exponent prime factors to calculate the LCM of 1059 and 1067.
LCM(1059,1067) = 31×111×971×3531
LCM(1059,1067) = 1129953
Factors of 1059
List of positive integer factors of 1059 that divides 1059 without a remainder.
1, 3, 353, 1059
Factors of 1067
List of positive integer factors of 1067 that divides 1067 without a remainder.
1, 11, 97, 1067
Least Common Multiple of 1059 and 1067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1059 and 1067, than apply into the LCM equation.
GCF(1059,1067) = 1
LCM(1059,1067) = ( 1059 × 1067) / 1
LCM(1059,1067) = 1129953 / 1
LCM(1059,1067) = 1129953
Properties of LCM 1059 and 1067
(i) The LCM of 1067 and 1059 is associative
LCM of 1059 and 1067 = LCM of 1067 and 1059
Related Least Common Multiples of 1059
Related Least Common Multiples of 1067
Frequently Asked Questions on LCM of 1059 and 1067
1. What is the LCM of 1059 and 1067?
Answer: LCM of 1059 and 1067 is 1129953.
2. What are the Factors of 1059?
Answer: Factors of 1059 are 1, 3, 353, 1059. There are 4 integers that are factors of 1059. The greatest factor of 1059 is 1059.
3. What are the Factors of 1067?
Answer: Factors of 1067 are 1, 11, 97, 1067. There are 4 integers that are factors of 1067. The greatest factor of 1067 is 1067.
4. How to Find the LCM of 1059 and 1067?
Answer:
Least Common Multiple of 1059 and 1067 = 1129953
Step 1: Find the prime factorization of 1059
1059 = 3 x 353
Step 2: Find the prime factorization of 1067
1067 = 11 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1129953 = 3 x 11 x 97 x 353
Step 4: Therefore, the least common multiple of 1059 and 1067 is 1129953.
