Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1060 and 1062 the smallest integer that is 562860 that is divisible by both numbers.
Least Common Multiple (LCM) of 1060 and 1062 is 562860.
LCM(1060,1062) = 562860
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1060 and 1062. First we will calculate the prime factors of 1060 and 1062.
Prime Factorization of 1060
2 | 1060 |
2 | 530 |
5 | 265 |
53 | 53 |
1 |
Prime factors of 1060 are 2, 5,53. Prime factorization of 1060 in exponential form is:
1060 = 22×51×531
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1060 and 1062.
LCM(1060,1062) = 22×32×51×531×591
LCM(1060,1062) = 562860
Factors of 1060
List of positive integer factors of 1060 that divides 1060 without a remainder.
1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1060 and 1062, than apply into the LCM equation.
GCF(1060,1062) = 2
LCM(1060,1062) = ( 1060 × 1062) / 2
LCM(1060,1062) = 1125720 / 2
LCM(1060,1062) = 562860
(i) The LCM of 1062 and 1060 is associative
LCM of 1060 and 1062 = LCM of 1062 and 1060
1. What is the LCM of 1060 and 1062?
Answer: LCM of 1060 and 1062 is 562860.
2. What are the Factors of 1060?
Answer: Factors of 1060 are 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060. There are 12 integers that are factors of 1060. The greatest factor of 1060 is 1060.
3. 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.
4. How to Find the LCM of 1060 and 1062?
Answer:
Least Common Multiple of 1060 and 1062 = 562860
Step 1: Find the prime factorization of 1060
1060 = 2 x 2 x 5 x 53
Step 2: Find the prime factorization of 1062
1062 = 2 x 3 x 3 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 562860 = 2 x 2 x 3 x 3 x 5 x 53 x 59
Step 4: Therefore, the least common multiple of 1060 and 1062 is 562860.