Least Common Multiple of 1078 and 1085
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1078 and 1085 the smallest integer that is 167090 that is divisible by both numbers.
Least Common Multiple (LCM) of 1078 and 1085 is 167090.
LCM(1078,1085) = 167090
LCM of 1078 and 1085
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1078 and 1085 by Prime method
- Least Common Multiple of 1078 and 1085 with GCF Formula
LCM of 1078 and 1085 is 167090
Least common multiple can be found by multiplying the highest exponent prime factors of 1078 and 1085. First we will calculate the prime factors of 1078 and 1085.
Prime Factorization of 1078
| 2 | 1078 |
| 7 | 539 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 1078 are 2, 7,11. Prime factorization of 1078 in exponential form is:
1078 = 21×72×111
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1078 and 1085.
LCM(1078,1085) = 21×51×72×111×311
LCM(1078,1085) = 167090
Factors of 1078
List of positive integer factors of 1078 that divides 1078 without a remainder.
1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, 1078
Factors of 1085
List of positive integer factors of 1085 that divides 1085 without a remainder.
1, 5, 7, 31, 35, 155, 217, 1085
Least Common Multiple of 1078 and 1085 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1078 and 1085, than apply into the LCM equation.
GCF(1078,1085) = 7
LCM(1078,1085) = ( 1078 × 1085) / 7
LCM(1078,1085) = 1169630 / 7
LCM(1078,1085) = 167090
Properties of LCM 1078 and 1085
(i) The LCM of 1085 and 1078 is associative
LCM of 1078 and 1085 = LCM of 1085 and 1078
Related Least Common Multiples of 1078
Related Least Common Multiples of 1085
Frequently Asked Questions on LCM of 1078 and 1085
1. What is the LCM of 1078 and 1085?
Answer: LCM of 1078 and 1085 is 167090.
2. What are the Factors of 1078?
Answer: Factors of 1078 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, 1078. There are 12 integers that are factors of 1078. The greatest factor of 1078 is 1078.
3. 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.
4. How to Find the LCM of 1078 and 1085?
Answer:
Least Common Multiple of 1078 and 1085 = 167090
Step 1: Find the prime factorization of 1078
1078 = 2 x 7 x 7 x 11
Step 2: Find the prime factorization of 1085
1085 = 5 x 7 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 167090 = 2 x 5 x 7 x 7 x 11 x 31
Step 4: Therefore, the least common multiple of 1078 and 1085 is 167090.