Least Common Multiple of 1085 and 1091
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1085 and 1091 the smallest integer that is 1183735 that is divisible by both numbers.
Least Common Multiple (LCM) of 1085 and 1091 is 1183735.
LCM(1085,1091) = 1183735
LCM of 1085 and 1091
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1085 and 1091 by Prime method
- Least Common Multiple of 1085 and 1091 with GCF Formula
LCM of 1085 and 1091 is 1183735
Least common multiple can be found by multiplying the highest exponent prime factors of 1085 and 1091. First we will calculate the prime factors of 1085 and 1091.
Prime Factorization of 1085
| 5 | 1085 |
| 7 | 217 |
| 31 | 31 |
| 1 |
Prime factors of 1085 are 5, 7,31. Prime factorization of 1085 in exponential form is:
1085 = 51×71×311
Prime Factorization of 1091
| 1091 | 1091 |
| 1 |
Prime factors of 1091 are 1091. Prime factorization of 1091 in exponential form is:
1091 = 10911
Now multiplying the highest exponent prime factors to calculate the LCM of 1085 and 1091.
LCM(1085,1091) = 51×71×311×10911
LCM(1085,1091) = 1183735
Factors of 1085
List of positive integer factors of 1085 that divides 1085 without a remainder.
1, 5, 7, 31, 35, 155, 217, 1085
Factors of 1091
List of positive integer factors of 1091 that divides 1091 without a remainder.
1, 1091
Least Common Multiple of 1085 and 1091 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1085 and 1091, than apply into the LCM equation.
GCF(1085,1091) = 1
LCM(1085,1091) = ( 1085 × 1091) / 1
LCM(1085,1091) = 1183735 / 1
LCM(1085,1091) = 1183735
Properties of LCM 1085 and 1091
(i) The LCM of 1091 and 1085 is associative
LCM of 1085 and 1091 = LCM of 1091 and 1085
Related Least Common Multiples of 1085
Related Least Common Multiples of 1091
Frequently Asked Questions on LCM of 1085 and 1091
1. What is the LCM of 1085 and 1091?
Answer: LCM of 1085 and 1091 is 1183735.
2. What are the Factors of 1085?
Answer: Factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085. There are 8 integers that are factors of 1085. The greatest factor of 1085 is 1085.
3. What are the Factors of 1091?
Answer: Factors of 1091 are 1, 1091. There are 2 integers that are factors of 1091. The greatest factor of 1091 is 1091.
4. How to Find the LCM of 1085 and 1091?
Answer:
Least Common Multiple of 1085 and 1091 = 1183735
Step 1: Find the prime factorization of 1085
1085 = 5 x 7 x 31
Step 2: Find the prime factorization of 1091
1091 = 1091
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1183735 = 5 x 7 x 31 x 1091
Step 4: Therefore, the least common multiple of 1085 and 1091 is 1183735.