Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1013 and 1019 the smallest integer that is 1032247 that is divisible by both numbers.
Least Common Multiple (LCM) of 1013 and 1019 is 1032247.
LCM(1013,1019) = 1032247
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 1013 and 1019. First we will calculate the prime factors of 1013 and 1019.
Prime Factorization of 1013
1013 | 1013 |
1 |
Prime factors of 1013 are 1013. Prime factorization of 1013 in exponential form is:
1013 = 10131
Prime Factorization of 1019
1019 | 1019 |
1 |
Prime factors of 1019 are 1019. Prime factorization of 1019 in exponential form is:
1019 = 10191
Now multiplying the highest exponent prime factors to calculate the LCM of 1013 and 1019.
LCM(1013,1019) = 10131×10191
LCM(1013,1019) = 1032247
Factors of 1013
List of positive integer factors of 1013 that divides 1013 without a remainder.
1, 1013
Factors of 1019
List of positive integer factors of 1019 that divides 1019 without a remainder.
1, 1019
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1013 and 1019, than apply into the LCM equation.
GCF(1013,1019) = 1
LCM(1013,1019) = ( 1013 × 1019) / 1
LCM(1013,1019) = 1032247 / 1
LCM(1013,1019) = 1032247
(i) The LCM of 1019 and 1013 is associative
LCM of 1013 and 1019 = LCM of 1019 and 1013
1. What is the LCM of 1013 and 1019?
Answer: LCM of 1013 and 1019 is 1032247.
2. What are the Factors of 1013?
Answer: Factors of 1013 are 1, 1013. There are 2 integers that are factors of 1013. The greatest factor of 1013 is 1013.
3. What are the Factors of 1019?
Answer: Factors of 1019 are 1, 1019. There are 2 integers that are factors of 1019. The greatest factor of 1019 is 1019.
4. How to Find the LCM of 1013 and 1019?
Answer:
Least Common Multiple of 1013 and 1019 = 1032247
Step 1: Find the prime factorization of 1013
1013 = 1013
Step 2: Find the prime factorization of 1019
1019 = 1019
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1032247 = 1013 x 1019
Step 4: Therefore, the least common multiple of 1013 and 1019 is 1032247.