Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1055 and 1063 the smallest integer that is 1121465 that is divisible by both numbers.
Least Common Multiple (LCM) of 1055 and 1063 is 1121465.
LCM(1055,1063) = 1121465
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 1055 and 1063. First we will calculate the prime factors of 1055 and 1063.
Prime Factorization of 1055
5 | 1055 |
211 | 211 |
1 |
Prime factors of 1055 are 5,211. Prime factorization of 1055 in exponential form is:
1055 = 51×2111
Prime Factorization of 1063
1063 | 1063 |
1 |
Prime factors of 1063 are 1063. Prime factorization of 1063 in exponential form is:
1063 = 10631
Now multiplying the highest exponent prime factors to calculate the LCM of 1055 and 1063.
LCM(1055,1063) = 51×2111×10631
LCM(1055,1063) = 1121465
Factors of 1055
List of positive integer factors of 1055 that divides 1055 without a remainder.
1, 5, 211, 1055
Factors of 1063
List of positive integer factors of 1063 that divides 1063 without a remainder.
1, 1063
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1055 and 1063, than apply into the LCM equation.
GCF(1055,1063) = 1
LCM(1055,1063) = ( 1055 × 1063) / 1
LCM(1055,1063) = 1121465 / 1
LCM(1055,1063) = 1121465
(i) The LCM of 1063 and 1055 is associative
LCM of 1055 and 1063 = LCM of 1063 and 1055
1. What is the LCM of 1055 and 1063?
Answer: LCM of 1055 and 1063 is 1121465.
2. What are the Factors of 1055?
Answer: Factors of 1055 are 1, 5, 211, 1055. There are 4 integers that are factors of 1055. The greatest factor of 1055 is 1055.
3. 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.
4. How to Find the LCM of 1055 and 1063?
Answer:
Least Common Multiple of 1055 and 1063 = 1121465
Step 1: Find the prime factorization of 1055
1055 = 5 x 211
Step 2: Find the prime factorization of 1063
1063 = 1063
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1121465 = 5 x 211 x 1063
Step 4: Therefore, the least common multiple of 1055 and 1063 is 1121465.