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 1066 the smallest integer that is 1128894 that is divisible by both numbers.
Least Common Multiple (LCM) of 1059 and 1066 is 1128894.
LCM(1059,1066) = 1128894
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 1059 and 1066. First we will calculate the prime factors of 1059 and 1066.
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 1066
2 | 1066 |
13 | 533 |
41 | 41 |
1 |
Prime factors of 1066 are 2, 13,41. Prime factorization of 1066 in exponential form is:
1066 = 21×131×411
Now multiplying the highest exponent prime factors to calculate the LCM of 1059 and 1066.
LCM(1059,1066) = 21×31×131×411×3531
LCM(1059,1066) = 1128894
Factors of 1059
List of positive integer factors of 1059 that divides 1059 without a remainder.
1, 3, 353, 1059
Factors of 1066
List of positive integer factors of 1066 that divides 1066 without a remainder.
1, 2, 13, 26, 41, 82, 533, 1066
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1059 and 1066, than apply into the LCM equation.
GCF(1059,1066) = 1
LCM(1059,1066) = ( 1059 × 1066) / 1
LCM(1059,1066) = 1128894 / 1
LCM(1059,1066) = 1128894
(i) The LCM of 1066 and 1059 is associative
LCM of 1059 and 1066 = LCM of 1066 and 1059
1. What is the LCM of 1059 and 1066?
Answer: LCM of 1059 and 1066 is 1128894.
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 1066?
Answer: Factors of 1066 are 1, 2, 13, 26, 41, 82, 533, 1066. There are 8 integers that are factors of 1066. The greatest factor of 1066 is 1066.
4. How to Find the LCM of 1059 and 1066?
Answer:
Least Common Multiple of 1059 and 1066 = 1128894
Step 1: Find the prime factorization of 1059
1059 = 3 x 353
Step 2: Find the prime factorization of 1066
1066 = 2 x 13 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1128894 = 2 x 3 x 13 x 41 x 353
Step 4: Therefore, the least common multiple of 1059 and 1066 is 1128894.