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 1012 the smallest integer that is 1023132 that is divisible by both numbers.
Least Common Multiple (LCM) of 1011 and 1012 is 1023132.
LCM(1011,1012) = 1023132
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 1012. First we will calculate the prime factors of 1011 and 1012.
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 1012
2 | 1012 |
2 | 506 |
11 | 253 |
23 | 23 |
1 |
Prime factors of 1012 are 2, 11,23. Prime factorization of 1012 in exponential form is:
1012 = 22×111×231
Now multiplying the highest exponent prime factors to calculate the LCM of 1011 and 1012.
LCM(1011,1012) = 22×31×111×231×3371
LCM(1011,1012) = 1023132
Factors of 1011
List of positive integer factors of 1011 that divides 1011 without a remainder.
1, 3, 337, 1011
Factors of 1012
List of positive integer factors of 1012 that divides 1012 without a remainder.
1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1011 and 1012, than apply into the LCM equation.
GCF(1011,1012) = 1
LCM(1011,1012) = ( 1011 × 1012) / 1
LCM(1011,1012) = 1023132 / 1
LCM(1011,1012) = 1023132
(i) The LCM of 1012 and 1011 is associative
LCM of 1011 and 1012 = LCM of 1012 and 1011
1. What is the LCM of 1011 and 1012?
Answer: LCM of 1011 and 1012 is 1023132.
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 1012?
Answer: Factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012. There are 12 integers that are factors of 1012. The greatest factor of 1012 is 1012.
4. How to Find the LCM of 1011 and 1012?
Answer:
Least Common Multiple of 1011 and 1012 = 1023132
Step 1: Find the prime factorization of 1011
1011 = 3 x 337
Step 2: Find the prime factorization of 1012
1012 = 2 x 2 x 11 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1023132 = 2 x 2 x 3 x 11 x 23 x 337
Step 4: Therefore, the least common multiple of 1011 and 1012 is 1023132.