Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9127 and 9133 the smallest integer that is 83356891 that is divisible by both numbers.
Least Common Multiple (LCM) of 9127 and 9133 is 83356891.
LCM(9127,9133) = 83356891
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 9127 and 9133. First we will calculate the prime factors of 9127 and 9133.
Prime Factorization of 9127
9127 | 9127 |
1 |
Prime factors of 9127 are 9127. Prime factorization of 9127 in exponential form is:
9127 = 91271
Prime Factorization of 9133
9133 | 9133 |
1 |
Prime factors of 9133 are 9133. Prime factorization of 9133 in exponential form is:
9133 = 91331
Now multiplying the highest exponent prime factors to calculate the LCM of 9127 and 9133.
LCM(9127,9133) = 91271×91331
LCM(9127,9133) = 83356891
Factors of 9127
List of positive integer factors of 9127 that divides 9127 without a remainder.
1, 9127
Factors of 9133
List of positive integer factors of 9133 that divides 9133 without a remainder.
1, 9133
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9127 and 9133, than apply into the LCM equation.
GCF(9127,9133) = 1
LCM(9127,9133) = ( 9127 × 9133) / 1
LCM(9127,9133) = 83356891 / 1
LCM(9127,9133) = 83356891
(i) The LCM of 9133 and 9127 is associative
LCM of 9127 and 9133 = LCM of 9133 and 9127
1. What is the LCM of 9127 and 9133?
Answer: LCM of 9127 and 9133 is 83356891.
2. What are the Factors of 9127?
Answer: Factors of 9127 are 1, 9127. There are 2 integers that are factors of 9127. The greatest factor of 9127 is 9127.
3. What are the Factors of 9133?
Answer: Factors of 9133 are 1, 9133. There are 2 integers that are factors of 9133. The greatest factor of 9133 is 9133.
4. How to Find the LCM of 9127 and 9133?
Answer:
Least Common Multiple of 9127 and 9133 = 83356891
Step 1: Find the prime factorization of 9127
9127 = 9127
Step 2: Find the prime factorization of 9133
9133 = 9133
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83356891 = 9127 x 9133
Step 4: Therefore, the least common multiple of 9127 and 9133 is 83356891.