Least Common Multiple of 1051 and 1054
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1051 and 1054 the smallest integer that is 1107754 that is divisible by both numbers.
Least Common Multiple (LCM) of 1051 and 1054 is 1107754.
LCM(1051,1054) = 1107754
LCM of 1051 and 1054
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1051 and 1054 by Prime method
- Least Common Multiple of 1051 and 1054 with GCF Formula
LCM of 1051 and 1054 is 1107754
Least common multiple can be found by multiplying the highest exponent prime factors of 1051 and 1054. First we will calculate the prime factors of 1051 and 1054.
Prime Factorization of 1051
| 1051 | 1051 |
| 1 |
Prime factors of 1051 are 1051. Prime factorization of 1051 in exponential form is:
1051 = 10511
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1051 and 1054.
LCM(1051,1054) = 21×171×311×10511
LCM(1051,1054) = 1107754
Factors of 1051
List of positive integer factors of 1051 that divides 1051 without a remainder.
1, 1051
Factors of 1054
List of positive integer factors of 1054 that divides 1054 without a remainder.
1, 2, 17, 31, 34, 62, 527, 1054
Least Common Multiple of 1051 and 1054 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1051 and 1054, than apply into the LCM equation.
GCF(1051,1054) = 1
LCM(1051,1054) = ( 1051 × 1054) / 1
LCM(1051,1054) = 1107754 / 1
LCM(1051,1054) = 1107754
Properties of LCM 1051 and 1054
(i) The LCM of 1054 and 1051 is associative
LCM of 1051 and 1054 = LCM of 1054 and 1051
Related Least Common Multiples of 1051
Related Least Common Multiples of 1054
Frequently Asked Questions on LCM of 1051 and 1054
1. What is the LCM of 1051 and 1054?
Answer: LCM of 1051 and 1054 is 1107754.
2. What are the Factors of 1051?
Answer: Factors of 1051 are 1, 1051. There are 2 integers that are factors of 1051. The greatest factor of 1051 is 1051.
3. 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.
4. How to Find the LCM of 1051 and 1054?
Answer:
Least Common Multiple of 1051 and 1054 = 1107754
Step 1: Find the prime factorization of 1051
1051 = 1051
Step 2: Find the prime factorization of 1054
1054 = 2 x 17 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1107754 = 2 x 17 x 31 x 1051
Step 4: Therefore, the least common multiple of 1051 and 1054 is 1107754.
