Least Common Multiple of 1045 and 1051
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1045 and 1051 the smallest integer that is 1098295 that is divisible by both numbers.
Least Common Multiple (LCM) of 1045 and 1051 is 1098295.
LCM(1045,1051) = 1098295
LCM of 1045 and 1051
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1045 and 1051 by Prime method
- Least Common Multiple of 1045 and 1051 with GCF Formula
LCM of 1045 and 1051 is 1098295
Least common multiple can be found by multiplying the highest exponent prime factors of 1045 and 1051. First we will calculate the prime factors of 1045 and 1051.
Prime Factorization of 1045
| 5 | 1045 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 1045 are 5, 11,19. Prime factorization of 1045 in exponential form is:
1045 = 51×111×191
Prime Factorization of 1051
| 1051 | 1051 |
| 1 |
Prime factors of 1051 are 1051. Prime factorization of 1051 in exponential form is:
1051 = 10511
Now multiplying the highest exponent prime factors to calculate the LCM of 1045 and 1051.
LCM(1045,1051) = 51×111×191×10511
LCM(1045,1051) = 1098295
Factors of 1045
List of positive integer factors of 1045 that divides 1045 without a remainder.
1, 5, 11, 19, 55, 95, 209, 1045
Factors of 1051
List of positive integer factors of 1051 that divides 1051 without a remainder.
1, 1051
Least Common Multiple of 1045 and 1051 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1045 and 1051, than apply into the LCM equation.
GCF(1045,1051) = 1
LCM(1045,1051) = ( 1045 × 1051) / 1
LCM(1045,1051) = 1098295 / 1
LCM(1045,1051) = 1098295
Properties of LCM 1045 and 1051
(i) The LCM of 1051 and 1045 is associative
LCM of 1045 and 1051 = LCM of 1051 and 1045
Related Least Common Multiples of 1045
Related Least Common Multiples of 1051
Frequently Asked Questions on LCM of 1045 and 1051
1. What is the LCM of 1045 and 1051?
Answer: LCM of 1045 and 1051 is 1098295.
2. What are the Factors of 1045?
Answer: Factors of 1045 are 1, 5, 11, 19, 55, 95, 209, 1045. There are 8 integers that are factors of 1045. The greatest factor of 1045 is 1045.
3. 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.
4. How to Find the LCM of 1045 and 1051?
Answer:
Least Common Multiple of 1045 and 1051 = 1098295
Step 1: Find the prime factorization of 1045
1045 = 5 x 11 x 19
Step 2: Find the prime factorization of 1051
1051 = 1051
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1098295 = 5 x 11 x 19 x 1051
Step 4: Therefore, the least common multiple of 1045 and 1051 is 1098295.