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 7134 the smallest integer that is 50844018 that is divisible by both numbers.
Least Common Multiple (LCM) of 7127 and 7134 is 50844018.
LCM(7127,7134) = 50844018
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 7134. First we will calculate the prime factors of 7127 and 7134.
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 7134
2 | 7134 |
3 | 3567 |
29 | 1189 |
41 | 41 |
1 |
Prime factors of 7134 are 2, 3, 29,41. Prime factorization of 7134 in exponential form is:
7134 = 21×31×291×411
Now multiplying the highest exponent prime factors to calculate the LCM of 7127 and 7134.
LCM(7127,7134) = 21×31×291×411×71271
LCM(7127,7134) = 50844018
Factors of 7127
List of positive integer factors of 7127 that divides 7127 without a remainder.
1, 7127
Factors of 7134
List of positive integer factors of 7134 that divides 7134 without a remainder.
1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7127 and 7134, than apply into the LCM equation.
GCF(7127,7134) = 1
LCM(7127,7134) = ( 7127 × 7134) / 1
LCM(7127,7134) = 50844018 / 1
LCM(7127,7134) = 50844018
(i) The LCM of 7134 and 7127 is associative
LCM of 7127 and 7134 = LCM of 7134 and 7127
1. What is the LCM of 7127 and 7134?
Answer: LCM of 7127 and 7134 is 50844018.
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 7134?
Answer: Factors of 7134 are 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134. There are 16 integers that are factors of 7134. The greatest factor of 7134 is 7134.
4. How to Find the LCM of 7127 and 7134?
Answer:
Least Common Multiple of 7127 and 7134 = 50844018
Step 1: Find the prime factorization of 7127
7127 = 7127
Step 2: Find the prime factorization of 7134
7134 = 2 x 3 x 29 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 50844018 = 2 x 3 x 29 x 41 x 7127
Step 4: Therefore, the least common multiple of 7127 and 7134 is 50844018.