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 1061 the smallest integer that is 1123599 that is divisible by both numbers.
Least Common Multiple (LCM) of 1059 and 1061 is 1123599.
LCM(1059,1061) = 1123599
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 1061. First we will calculate the prime factors of 1059 and 1061.
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 1061
1061 | 1061 |
1 |
Prime factors of 1061 are 1061. Prime factorization of 1061 in exponential form is:
1061 = 10611
Now multiplying the highest exponent prime factors to calculate the LCM of 1059 and 1061.
LCM(1059,1061) = 31×3531×10611
LCM(1059,1061) = 1123599
Factors of 1059
List of positive integer factors of 1059 that divides 1059 without a remainder.
1, 3, 353, 1059
Factors of 1061
List of positive integer factors of 1061 that divides 1061 without a remainder.
1, 1061
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1059 and 1061, than apply into the LCM equation.
GCF(1059,1061) = 1
LCM(1059,1061) = ( 1059 × 1061) / 1
LCM(1059,1061) = 1123599 / 1
LCM(1059,1061) = 1123599
(i) The LCM of 1061 and 1059 is associative
LCM of 1059 and 1061 = LCM of 1061 and 1059
1. What is the LCM of 1059 and 1061?
Answer: LCM of 1059 and 1061 is 1123599.
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 1061?
Answer: Factors of 1061 are 1, 1061. There are 2 integers that are factors of 1061. The greatest factor of 1061 is 1061.
4. How to Find the LCM of 1059 and 1061?
Answer:
Least Common Multiple of 1059 and 1061 = 1123599
Step 1: Find the prime factorization of 1059
1059 = 3 x 353
Step 2: Find the prime factorization of 1061
1061 = 1061
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1123599 = 3 x 353 x 1061
Step 4: Therefore, the least common multiple of 1059 and 1061 is 1123599.