Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1063 and 1069 the smallest integer that is 1136347 that is divisible by both numbers.
Least Common Multiple (LCM) of 1063 and 1069 is 1136347.
LCM(1063,1069) = 1136347
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 1063 and 1069. First we will calculate the prime factors of 1063 and 1069.
Prime Factorization of 1063
1063 | 1063 |
1 |
Prime factors of 1063 are 1063. Prime factorization of 1063 in exponential form is:
1063 = 10631
Prime Factorization of 1069
1069 | 1069 |
1 |
Prime factors of 1069 are 1069. Prime factorization of 1069 in exponential form is:
1069 = 10691
Now multiplying the highest exponent prime factors to calculate the LCM of 1063 and 1069.
LCM(1063,1069) = 10631×10691
LCM(1063,1069) = 1136347
Factors of 1063
List of positive integer factors of 1063 that divides 1063 without a remainder.
1, 1063
Factors of 1069
List of positive integer factors of 1069 that divides 1069 without a remainder.
1, 1069
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1063 and 1069, than apply into the LCM equation.
GCF(1063,1069) = 1
LCM(1063,1069) = ( 1063 × 1069) / 1
LCM(1063,1069) = 1136347 / 1
LCM(1063,1069) = 1136347
(i) The LCM of 1069 and 1063 is associative
LCM of 1063 and 1069 = LCM of 1069 and 1063
1. What is the LCM of 1063 and 1069?
Answer: LCM of 1063 and 1069 is 1136347.
2. What are the Factors of 1063?
Answer: Factors of 1063 are 1, 1063. There are 2 integers that are factors of 1063. The greatest factor of 1063 is 1063.
3. What are the Factors of 1069?
Answer: Factors of 1069 are 1, 1069. There are 2 integers that are factors of 1069. The greatest factor of 1069 is 1069.
4. How to Find the LCM of 1063 and 1069?
Answer:
Least Common Multiple of 1063 and 1069 = 1136347
Step 1: Find the prime factorization of 1063
1063 = 1063
Step 2: Find the prime factorization of 1069
1069 = 1069
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1136347 = 1063 x 1069
Step 4: Therefore, the least common multiple of 1063 and 1069 is 1136347.