Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1057 and 1059 the smallest integer that is 1119363 that is divisible by both numbers.
Least Common Multiple (LCM) of 1057 and 1059 is 1119363.
LCM(1057,1059) = 1119363
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 1057 and 1059. First we will calculate the prime factors of 1057 and 1059.
Prime Factorization of 1057
7 | 1057 |
151 | 151 |
1 |
Prime factors of 1057 are 7,151. Prime factorization of 1057 in exponential form is:
1057 = 71×1511
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1057 and 1059.
LCM(1057,1059) = 31×71×1511×3531
LCM(1057,1059) = 1119363
Factors of 1057
List of positive integer factors of 1057 that divides 1057 without a remainder.
1, 7, 151, 1057
Factors of 1059
List of positive integer factors of 1059 that divides 1059 without a remainder.
1, 3, 353, 1059
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1057 and 1059, than apply into the LCM equation.
GCF(1057,1059) = 1
LCM(1057,1059) = ( 1057 × 1059) / 1
LCM(1057,1059) = 1119363 / 1
LCM(1057,1059) = 1119363
(i) The LCM of 1059 and 1057 is associative
LCM of 1057 and 1059 = LCM of 1059 and 1057
1. What is the LCM of 1057 and 1059?
Answer: LCM of 1057 and 1059 is 1119363.
2. What are the Factors of 1057?
Answer: Factors of 1057 are 1, 7, 151, 1057. There are 4 integers that are factors of 1057. The greatest factor of 1057 is 1057.
3. 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.
4. How to Find the LCM of 1057 and 1059?
Answer:
Least Common Multiple of 1057 and 1059 = 1119363
Step 1: Find the prime factorization of 1057
1057 = 7 x 151
Step 2: Find the prime factorization of 1059
1059 = 3 x 353
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1119363 = 3 x 7 x 151 x 353
Step 4: Therefore, the least common multiple of 1057 and 1059 is 1119363.