Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9123 and 9127 the smallest integer that is 83265621 that is divisible by both numbers.
Least Common Multiple (LCM) of 9123 and 9127 is 83265621.
LCM(9123,9127) = 83265621
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 9123 and 9127. First we will calculate the prime factors of 9123 and 9127.
Prime Factorization of 9123
3 | 9123 |
3041 | 3041 |
1 |
Prime factors of 9123 are 3,3041. Prime factorization of 9123 in exponential form is:
9123 = 31×30411
Prime Factorization of 9127
9127 | 9127 |
1 |
Prime factors of 9127 are 9127. Prime factorization of 9127 in exponential form is:
9127 = 91271
Now multiplying the highest exponent prime factors to calculate the LCM of 9123 and 9127.
LCM(9123,9127) = 31×30411×91271
LCM(9123,9127) = 83265621
Factors of 9123
List of positive integer factors of 9123 that divides 9123 without a remainder.
1, 3, 3041, 9123
Factors of 9127
List of positive integer factors of 9127 that divides 9127 without a remainder.
1, 9127
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9123 and 9127, than apply into the LCM equation.
GCF(9123,9127) = 1
LCM(9123,9127) = ( 9123 × 9127) / 1
LCM(9123,9127) = 83265621 / 1
LCM(9123,9127) = 83265621
(i) The LCM of 9127 and 9123 is associative
LCM of 9123 and 9127 = LCM of 9127 and 9123
1. What is the LCM of 9123 and 9127?
Answer: LCM of 9123 and 9127 is 83265621.
2. What are the Factors of 9123?
Answer: Factors of 9123 are 1, 3, 3041, 9123. There are 4 integers that are factors of 9123. The greatest factor of 9123 is 9123.
3. 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.
4. How to Find the LCM of 9123 and 9127?
Answer:
Least Common Multiple of 9123 and 9127 = 83265621
Step 1: Find the prime factorization of 9123
9123 = 3 x 3041
Step 2: Find the prime factorization of 9127
9127 = 9127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 83265621 = 3 x 3041 x 9127
Step 4: Therefore, the least common multiple of 9123 and 9127 is 83265621.