Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7127 and 7133 the smallest integer that is 50836891 that is divisible by both numbers.
Least Common Multiple (LCM) of 7127 and 7133 is 50836891.
LCM(7127,7133) = 50836891
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 7127 and 7133. First we will calculate the prime factors of 7127 and 7133.
Prime Factorization of 7127
7127 | 7127 |
1 |
Prime factors of 7127 are 7127. Prime factorization of 7127 in exponential form is:
7127 = 71271
Prime Factorization of 7133
7 | 7133 |
1019 | 1019 |
1 |
Prime factors of 7133 are 7,1019. Prime factorization of 7133 in exponential form is:
7133 = 71×10191
Now multiplying the highest exponent prime factors to calculate the LCM of 7127 and 7133.
LCM(7127,7133) = 71×10191×71271
LCM(7127,7133) = 50836891
Factors of 7127
List of positive integer factors of 7127 that divides 7127 without a remainder.
1, 7127
Factors of 7133
List of positive integer factors of 7133 that divides 7133 without a remainder.
1, 7, 1019, 7133
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7127 and 7133, than apply into the LCM equation.
GCF(7127,7133) = 1
LCM(7127,7133) = ( 7127 × 7133) / 1
LCM(7127,7133) = 50836891 / 1
LCM(7127,7133) = 50836891
(i) The LCM of 7133 and 7127 is associative
LCM of 7127 and 7133 = LCM of 7133 and 7127
1. What is the LCM of 7127 and 7133?
Answer: LCM of 7127 and 7133 is 50836891.
2. What are the Factors of 7127?
Answer: Factors of 7127 are 1, 7127. There are 2 integers that are factors of 7127. The greatest factor of 7127 is 7127.
3. What are the Factors of 7133?
Answer: Factors of 7133 are 1, 7, 1019, 7133. There are 4 integers that are factors of 7133. The greatest factor of 7133 is 7133.
4. How to Find the LCM of 7127 and 7133?
Answer:
Least Common Multiple of 7127 and 7133 = 50836891
Step 1: Find the prime factorization of 7127
7127 = 7127
Step 2: Find the prime factorization of 7133
7133 = 7 x 1019
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50836891 = 7 x 1019 x 7127
Step 4: Therefore, the least common multiple of 7127 and 7133 is 50836891.