Least Common Multiple of 1045 and 1049
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 1049 the smallest integer that is 1096205 that is divisible by both numbers.
Least Common Multiple (LCM) of 1045 and 1049 is 1096205.
LCM(1045,1049) = 1096205
LCM of 1045 and 1049
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1045 and 1049 by Prime method
- Least Common Multiple of 1045 and 1049 with GCF Formula
LCM of 1045 and 1049 is 1096205
Least common multiple can be found by multiplying the highest exponent prime factors of 1045 and 1049. First we will calculate the prime factors of 1045 and 1049.
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 1049
| 1049 | 1049 |
| 1 |
Prime factors of 1049 are 1049. Prime factorization of 1049 in exponential form is:
1049 = 10491
Now multiplying the highest exponent prime factors to calculate the LCM of 1045 and 1049.
LCM(1045,1049) = 51×111×191×10491
LCM(1045,1049) = 1096205
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 1049
List of positive integer factors of 1049 that divides 1049 without a remainder.
1, 1049
Least Common Multiple of 1045 and 1049 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 1049, than apply into the LCM equation.
GCF(1045,1049) = 1
LCM(1045,1049) = ( 1045 × 1049) / 1
LCM(1045,1049) = 1096205 / 1
LCM(1045,1049) = 1096205
Properties of LCM 1045 and 1049
(i) The LCM of 1049 and 1045 is associative
LCM of 1045 and 1049 = LCM of 1049 and 1045
Related Least Common Multiples of 1045
Related Least Common Multiples of 1049
Frequently Asked Questions on LCM of 1045 and 1049
1. What is the LCM of 1045 and 1049?
Answer: LCM of 1045 and 1049 is 1096205.
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 1049?
Answer: Factors of 1049 are 1, 1049. There are 2 integers that are factors of 1049. The greatest factor of 1049 is 1049.
4. How to Find the LCM of 1045 and 1049?
Answer:
Least Common Multiple of 1045 and 1049 = 1096205
Step 1: Find the prime factorization of 1045
1045 = 5 x 11 x 19
Step 2: Find the prime factorization of 1049
1049 = 1049
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1096205 = 5 x 11 x 19 x 1049
Step 4: Therefore, the least common multiple of 1045 and 1049 is 1096205.