Least Common Multiple of 1054 and 1061
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1054 and 1061 the smallest integer that is 1118294 that is divisible by both numbers.
Least Common Multiple (LCM) of 1054 and 1061 is 1118294.
LCM(1054,1061) = 1118294
LCM of 1054 and 1061
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1054 and 1061 by Prime method
- Least Common Multiple of 1054 and 1061 with GCF Formula
LCM of 1054 and 1061 is 1118294
Least common multiple can be found by multiplying the highest exponent prime factors of 1054 and 1061. First we will calculate the prime factors of 1054 and 1061.
Prime Factorization of 1054
| 2 | 1054 |
| 17 | 527 |
| 31 | 31 |
| 1 |
Prime factors of 1054 are 2, 17,31. Prime factorization of 1054 in exponential form is:
1054 = 21×171×311
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 1054 and 1061.
LCM(1054,1061) = 21×171×311×10611
LCM(1054,1061) = 1118294
Factors of 1054
List of positive integer factors of 1054 that divides 1054 without a remainder.
1, 2, 17, 31, 34, 62, 527, 1054
Factors of 1061
List of positive integer factors of 1061 that divides 1061 without a remainder.
1, 1061
Least Common Multiple of 1054 and 1061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1054 and 1061, than apply into the LCM equation.
GCF(1054,1061) = 1
LCM(1054,1061) = ( 1054 × 1061) / 1
LCM(1054,1061) = 1118294 / 1
LCM(1054,1061) = 1118294
Properties of LCM 1054 and 1061
(i) The LCM of 1061 and 1054 is associative
LCM of 1054 and 1061 = LCM of 1061 and 1054
Related Least Common Multiples of 1054
Related Least Common Multiples of 1061
Frequently Asked Questions on LCM of 1054 and 1061
1. What is the LCM of 1054 and 1061?
Answer: LCM of 1054 and 1061 is 1118294.
2. What are the Factors of 1054?
Answer: Factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054. There are 8 integers that are factors of 1054. The greatest factor of 1054 is 1054.
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 1054 and 1061?
Answer:
Least Common Multiple of 1054 and 1061 = 1118294
Step 1: Find the prime factorization of 1054
1054 = 2 x 17 x 31
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 = 1118294 = 2 x 17 x 31 x 1061
Step 4: Therefore, the least common multiple of 1054 and 1061 is 1118294.
