Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1011 and 1017 the smallest integer that is 342729 that is divisible by both numbers.
Least Common Multiple (LCM) of 1011 and 1017 is 342729.
LCM(1011,1017) = 342729
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 1011 and 1017. First we will calculate the prime factors of 1011 and 1017.
Prime Factorization of 1011
3 | 1011 |
337 | 337 |
1 |
Prime factors of 1011 are 3,337. Prime factorization of 1011 in exponential form is:
1011 = 31×3371
Prime Factorization of 1017
3 | 1017 |
3 | 339 |
113 | 113 |
1 |
Prime factors of 1017 are 3,113. Prime factorization of 1017 in exponential form is:
1017 = 32×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 1011 and 1017.
LCM(1011,1017) = 32×1131×3371
LCM(1011,1017) = 342729
Factors of 1011
List of positive integer factors of 1011 that divides 1011 without a remainder.
1, 3, 337, 1011
Factors of 1017
List of positive integer factors of 1017 that divides 1017 without a remainder.
1, 3, 9, 113, 339, 1017
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1011 and 1017, than apply into the LCM equation.
GCF(1011,1017) = 3
LCM(1011,1017) = ( 1011 × 1017) / 3
LCM(1011,1017) = 1028187 / 3
LCM(1011,1017) = 342729
(i) The LCM of 1017 and 1011 is associative
LCM of 1011 and 1017 = LCM of 1017 and 1011
1. What is the LCM of 1011 and 1017?
Answer: LCM of 1011 and 1017 is 342729.
2. What are the Factors of 1011?
Answer: Factors of 1011 are 1, 3, 337, 1011. There are 4 integers that are factors of 1011. The greatest factor of 1011 is 1011.
3. What are the Factors of 1017?
Answer: Factors of 1017 are 1, 3, 9, 113, 339, 1017. There are 6 integers that are factors of 1017. The greatest factor of 1017 is 1017.
4. How to Find the LCM of 1011 and 1017?
Answer:
Least Common Multiple of 1011 and 1017 = 342729
Step 1: Find the prime factorization of 1011
1011 = 3 x 337
Step 2: Find the prime factorization of 1017
1017 = 3 x 3 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 342729 = 3 x 3 x 113 x 337
Step 4: Therefore, the least common multiple of 1011 and 1017 is 342729.