Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7019 and 7027 the smallest integer that is 49322513 that is divisible by both numbers.
Least Common Multiple (LCM) of 7019 and 7027 is 49322513.
LCM(7019,7027) = 49322513
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 7019 and 7027. First we will calculate the prime factors of 7019 and 7027.
Prime Factorization of 7019
7019 | 7019 |
1 |
Prime factors of 7019 are 7019. Prime factorization of 7019 in exponential form is:
7019 = 70191
Prime Factorization of 7027
7027 | 7027 |
1 |
Prime factors of 7027 are 7027. Prime factorization of 7027 in exponential form is:
7027 = 70271
Now multiplying the highest exponent prime factors to calculate the LCM of 7019 and 7027.
LCM(7019,7027) = 70191×70271
LCM(7019,7027) = 49322513
Factors of 7019
List of positive integer factors of 7019 that divides 7019 without a remainder.
1, 7019
Factors of 7027
List of positive integer factors of 7027 that divides 7027 without a remainder.
1, 7027
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7019 and 7027, than apply into the LCM equation.
GCF(7019,7027) = 1
LCM(7019,7027) = ( 7019 × 7027) / 1
LCM(7019,7027) = 49322513 / 1
LCM(7019,7027) = 49322513
(i) The LCM of 7027 and 7019 is associative
LCM of 7019 and 7027 = LCM of 7027 and 7019
1. What is the LCM of 7019 and 7027?
Answer: LCM of 7019 and 7027 is 49322513.
2. What are the Factors of 7019?
Answer: Factors of 7019 are 1, 7019. There are 2 integers that are factors of 7019. The greatest factor of 7019 is 7019.
3. What are the Factors of 7027?
Answer: Factors of 7027 are 1, 7027. There are 2 integers that are factors of 7027. The greatest factor of 7027 is 7027.
4. How to Find the LCM of 7019 and 7027?
Answer:
Least Common Multiple of 7019 and 7027 = 49322513
Step 1: Find the prime factorization of 7019
7019 = 7019
Step 2: Find the prime factorization of 7027
7027 = 7027
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 49322513 = 7019 x 7027
Step 4: Therefore, the least common multiple of 7019 and 7027 is 49322513.