Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1027 and 1031 the smallest integer that is 1058837 that is divisible by both numbers.
Least Common Multiple (LCM) of 1027 and 1031 is 1058837.
LCM(1027,1031) = 1058837
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1027 and 1031. First we will calculate the prime factors of 1027 and 1031.
Prime Factorization of 1027
13 | 1027 |
79 | 79 |
1 |
Prime factors of 1027 are 13,79. Prime factorization of 1027 in exponential form is:
1027 = 131×791
Prime Factorization of 1031
1031 | 1031 |
1 |
Prime factors of 1031 are 1031. Prime factorization of 1031 in exponential form is:
1031 = 10311
Now multiplying the highest exponent prime factors to calculate the LCM of 1027 and 1031.
LCM(1027,1031) = 131×791×10311
LCM(1027,1031) = 1058837
Factors of 1027
List of positive integer factors of 1027 that divides 1027 without a remainder.
1, 13, 79, 1027
Factors of 1031
List of positive integer factors of 1031 that divides 1031 without a remainder.
1, 1031
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1027 and 1031, than apply into the LCM equation.
GCF(1027,1031) = 1
LCM(1027,1031) = ( 1027 × 1031) / 1
LCM(1027,1031) = 1058837 / 1
LCM(1027,1031) = 1058837
(i) The LCM of 1031 and 1027 is associative
LCM of 1027 and 1031 = LCM of 1031 and 1027
1. What is the LCM of 1027 and 1031?
Answer: LCM of 1027 and 1031 is 1058837.
2. What are the Factors of 1027?
Answer: Factors of 1027 are 1, 13, 79, 1027. There are 4 integers that are factors of 1027. The greatest factor of 1027 is 1027.
3. What are the Factors of 1031?
Answer: Factors of 1031 are 1, 1031. There are 2 integers that are factors of 1031. The greatest factor of 1031 is 1031.
4. How to Find the LCM of 1027 and 1031?
Answer:
Least Common Multiple of 1027 and 1031 = 1058837
Step 1: Find the prime factorization of 1027
1027 = 13 x 79
Step 2: Find the prime factorization of 1031
1031 = 1031
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1058837 = 13 x 79 x 1031
Step 4: Therefore, the least common multiple of 1027 and 1031 is 1058837.