Least Common Multiple of 1073 and 1079
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1073 and 1079 the smallest integer that is 1157767 that is divisible by both numbers.
Least Common Multiple (LCM) of 1073 and 1079 is 1157767.
LCM(1073,1079) = 1157767
LCM of 1073 and 1079
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1073 and 1079 by Prime method
- Least Common Multiple of 1073 and 1079 with GCF Formula
LCM of 1073 and 1079 is 1157767
Least common multiple can be found by multiplying the highest exponent prime factors of 1073 and 1079. First we will calculate the prime factors of 1073 and 1079.
Prime Factorization of 1073
| 29 | 1073 |
| 37 | 37 |
| 1 |
Prime factors of 1073 are 29,37. Prime factorization of 1073 in exponential form is:
1073 = 291×371
Prime Factorization of 1079
| 13 | 1079 |
| 83 | 83 |
| 1 |
Prime factors of 1079 are 13,83. Prime factorization of 1079 in exponential form is:
1079 = 131×831
Now multiplying the highest exponent prime factors to calculate the LCM of 1073 and 1079.
LCM(1073,1079) = 131×291×371×831
LCM(1073,1079) = 1157767
Factors of 1073
List of positive integer factors of 1073 that divides 1073 without a remainder.
1, 29, 37, 1073
Factors of 1079
List of positive integer factors of 1079 that divides 1079 without a remainder.
1, 13, 83, 1079
Least Common Multiple of 1073 and 1079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1073 and 1079, than apply into the LCM equation.
GCF(1073,1079) = 1
LCM(1073,1079) = ( 1073 × 1079) / 1
LCM(1073,1079) = 1157767 / 1
LCM(1073,1079) = 1157767
Properties of LCM 1073 and 1079
(i) The LCM of 1079 and 1073 is associative
LCM of 1073 and 1079 = LCM of 1079 and 1073
Related Least Common Multiples of 1073
Related Least Common Multiples of 1079
Frequently Asked Questions on LCM of 1073 and 1079
1. What is the LCM of 1073 and 1079?
Answer: LCM of 1073 and 1079 is 1157767.
2. What are the Factors of 1073?
Answer: Factors of 1073 are 1, 29, 37, 1073. There are 4 integers that are factors of 1073. The greatest factor of 1073 is 1073.
3. What are the Factors of 1079?
Answer: Factors of 1079 are 1, 13, 83, 1079. There are 4 integers that are factors of 1079. The greatest factor of 1079 is 1079.
4. How to Find the LCM of 1073 and 1079?
Answer:
Least Common Multiple of 1073 and 1079 = 1157767
Step 1: Find the prime factorization of 1073
1073 = 29 x 37
Step 2: Find the prime factorization of 1079
1079 = 13 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1157767 = 13 x 29 x 37 x 83
Step 4: Therefore, the least common multiple of 1073 and 1079 is 1157767.