Least Common Multiple of 1062 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 1062 and 1067 the smallest integer that is 1133154 that is divisible by both numbers.
Least Common Multiple (LCM) of 1062 and 1067 is 1133154.
LCM(1062,1067) = 1133154
LCM of 1062 and 1067
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1062 and 1067 by Prime method
- Least Common Multiple of 1062 and 1067 with GCF Formula
LCM of 1062 and 1067 is 1133154
Least common multiple can be found by multiplying the highest exponent prime factors of 1062 and 1067. First we will calculate the prime factors of 1062 and 1067.
Prime Factorization of 1062
| 2 | 1062 |
| 3 | 531 |
| 3 | 177 |
| 59 | 59 |
| 1 |
Prime factors of 1062 are 2, 3,59. Prime factorization of 1062 in exponential form is:
1062 = 21×32×591
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 1062 and 1067.
LCM(1062,1067) = 21×32×111×591×971
LCM(1062,1067) = 1133154
Factors of 1062
List of positive integer factors of 1062 that divides 1062 without a remainder.
1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062
Factors of 1067
List of positive integer factors of 1067 that divides 1067 without a remainder.
1, 11, 97, 1067
Least Common Multiple of 1062 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 1062 and 1067, than apply into the LCM equation.
GCF(1062,1067) = 1
LCM(1062,1067) = ( 1062 × 1067) / 1
LCM(1062,1067) = 1133154 / 1
LCM(1062,1067) = 1133154
Properties of LCM 1062 and 1067
(i) The LCM of 1067 and 1062 is associative
LCM of 1062 and 1067 = LCM of 1067 and 1062
Related Least Common Multiples of 1062
Related Least Common Multiples of 1067
Frequently Asked Questions on LCM of 1062 and 1067
1. What is the LCM of 1062 and 1067?
Answer: LCM of 1062 and 1067 is 1133154.
2. What are the Factors of 1062?
Answer: Factors of 1062 are 1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062. There are 12 integers that are factors of 1062. The greatest factor of 1062 is 1062.
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 1062 and 1067?
Answer:
Least Common Multiple of 1062 and 1067 = 1133154
Step 1: Find the prime factorization of 1062
1062 = 2 x 3 x 3 x 59
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 = 1133154 = 2 x 3 x 3 x 11 x 59 x 97
Step 4: Therefore, the least common multiple of 1062 and 1067 is 1133154.