Least Common Multiple of 1077 and 1081
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1077 and 1081 the smallest integer that is 1164237 that is divisible by both numbers.
Least Common Multiple (LCM) of 1077 and 1081 is 1164237.
LCM(1077,1081) = 1164237
LCM of 1077 and 1081
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1077 and 1081 by Prime method
- Least Common Multiple of 1077 and 1081 with GCF Formula
LCM of 1077 and 1081 is 1164237
Least common multiple can be found by multiplying the highest exponent prime factors of 1077 and 1081. First we will calculate the prime factors of 1077 and 1081.
Prime Factorization of 1077
| 3 | 1077 |
| 359 | 359 |
| 1 |
Prime factors of 1077 are 3,359. Prime factorization of 1077 in exponential form is:
1077 = 31×3591
Prime Factorization of 1081
| 23 | 1081 |
| 47 | 47 |
| 1 |
Prime factors of 1081 are 23,47. Prime factorization of 1081 in exponential form is:
1081 = 231×471
Now multiplying the highest exponent prime factors to calculate the LCM of 1077 and 1081.
LCM(1077,1081) = 31×231×471×3591
LCM(1077,1081) = 1164237
Factors of 1077
List of positive integer factors of 1077 that divides 1077 without a remainder.
1, 3, 359, 1077
Factors of 1081
List of positive integer factors of 1081 that divides 1081 without a remainder.
1, 23, 47, 1081
Least Common Multiple of 1077 and 1081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1077 and 1081, than apply into the LCM equation.
GCF(1077,1081) = 1
LCM(1077,1081) = ( 1077 × 1081) / 1
LCM(1077,1081) = 1164237 / 1
LCM(1077,1081) = 1164237
Properties of LCM 1077 and 1081
(i) The LCM of 1081 and 1077 is associative
LCM of 1077 and 1081 = LCM of 1081 and 1077
Related Least Common Multiples of 1077
Related Least Common Multiples of 1081
Frequently Asked Questions on LCM of 1077 and 1081
1. What is the LCM of 1077 and 1081?
Answer: LCM of 1077 and 1081 is 1164237.
2. What are the Factors of 1077?
Answer: Factors of 1077 are 1, 3, 359, 1077. There are 4 integers that are factors of 1077. The greatest factor of 1077 is 1077.
3. What are the Factors of 1081?
Answer: Factors of 1081 are 1, 23, 47, 1081. There are 4 integers that are factors of 1081. The greatest factor of 1081 is 1081.
4. How to Find the LCM of 1077 and 1081?
Answer:
Least Common Multiple of 1077 and 1081 = 1164237
Step 1: Find the prime factorization of 1077
1077 = 3 x 359
Step 2: Find the prime factorization of 1081
1081 = 23 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1164237 = 3 x 23 x 47 x 359
Step 4: Therefore, the least common multiple of 1077 and 1081 is 1164237.