Least Common Multiple of 1058 and 1059
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1058 and 1059 the smallest integer that is 1120422 that is divisible by both numbers.
Least Common Multiple (LCM) of 1058 and 1059 is 1120422.
LCM(1058,1059) = 1120422
LCM of 1058 and 1059
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1058 and 1059 by Prime method
- Least Common Multiple of 1058 and 1059 with GCF Formula
LCM of 1058 and 1059 is 1120422
Least common multiple can be found by multiplying the highest exponent prime factors of 1058 and 1059. First we will calculate the prime factors of 1058 and 1059.
Prime Factorization of 1058
| 2 | 1058 |
| 23 | 529 |
| 23 | 23 |
| 1 |
Prime factors of 1058 are 2,23. Prime factorization of 1058 in exponential form is:
1058 = 21×232
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 1058 and 1059.
LCM(1058,1059) = 21×31×232×3531
LCM(1058,1059) = 1120422
Factors of 1058
List of positive integer factors of 1058 that divides 1058 without a remainder.
1, 2, 23, 46, 529, 1058
Factors of 1059
List of positive integer factors of 1059 that divides 1059 without a remainder.
1, 3, 353, 1059
Least Common Multiple of 1058 and 1059 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1058 and 1059, than apply into the LCM equation.
GCF(1058,1059) = 1
LCM(1058,1059) = ( 1058 × 1059) / 1
LCM(1058,1059) = 1120422 / 1
LCM(1058,1059) = 1120422
Properties of LCM 1058 and 1059
(i) The LCM of 1059 and 1058 is associative
LCM of 1058 and 1059 = LCM of 1059 and 1058
Related Least Common Multiples of 1058
Related Least Common Multiples of 1059
Frequently Asked Questions on LCM of 1058 and 1059
1. What is the LCM of 1058 and 1059?
Answer: LCM of 1058 and 1059 is 1120422.
2. What are the Factors of 1058?
Answer: Factors of 1058 are 1, 2, 23, 46, 529, 1058. There are 6 integers that are factors of 1058. The greatest factor of 1058 is 1058.
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 1058 and 1059?
Answer:
Least Common Multiple of 1058 and 1059 = 1120422
Step 1: Find the prime factorization of 1058
1058 = 2 x 23 x 23
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 = 1120422 = 2 x 3 x 23 x 23 x 353
Step 4: Therefore, the least common multiple of 1058 and 1059 is 1120422.