Least Common Multiple of 9123 and 9129

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 9129 the smallest integer that is 27761289 that is divisible by both numbers.

Least Common Multiple (LCM) of 9123 and 9129 is 27761289.

LCM(9123,9129) = 27761289

LCM of 9123 and 9129

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9123 and 9129

LCM of 9123 and 9129 is 27761289

Least common multiple can be found by multiplying the highest exponent prime factors of 9123 and 9129. First we will calculate the prime factors of 9123 and 9129.

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 9129


3 9129
17 3043
179 179
1

Prime factors of 9129 are 3, 17,179. Prime factorization of 9129 in exponential form is:

9129 = 31×171×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 9123 and 9129.

LCM(9123,9129) = 31×171×1791×30411
LCM(9123,9129) = 27761289

Factors of 9123

List of positive integer factors of 9123 that divides 9123 without a remainder.

1, 3, 3041, 9123

Factors of 9129

List of positive integer factors of 9129 that divides 9129 without a remainder.

1, 3, 17, 51, 179, 537, 3043, 9129

Least Common Multiple of 9123 and 9129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9123 and 9129, than apply into the LCM equation.

GCF(9123,9129) = 3
LCM(9123,9129) = ( 9123 × 9129) / 3
LCM(9123,9129) = 83283867 / 3
LCM(9123,9129) = 27761289

Properties of LCM 9123 and 9129

(i) The LCM of 9129 and 9123 is associative

LCM of 9123 and 9129 = LCM of 9129 and 9123

Related Least Common Multiples of 9123

Related Least Common Multiples of 9129

Frequently Asked Questions on LCM of 9123 and 9129

1. What is the LCM of 9123 and 9129?

Answer: LCM of 9123 and 9129 is 27761289.

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 9129?

Answer: Factors of 9129 are 1, 3, 17, 51, 179, 537, 3043, 9129. There are 8 integers that are factors of 9129. The greatest factor of 9129 is 9129.

4. How to Find the LCM of 9123 and 9129?

Answer:

Least Common Multiple of 9123 and 9129 = 27761289

Step 1: Find the prime factorization of 9123

9123 = 3 x 3041

Step 2: Find the prime factorization of 9129

9129 = 3 x 17 x 179

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 27761289 = 3 x 17 x 179 x 3041

Step 4: Therefore, the least common multiple of 9123 and 9129 is 27761289.