Least Common Multiple of 9129 and 9137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9129 and 9137 the smallest integer that is 83411673 that is divisible by both numbers.

Least Common Multiple (LCM) of 9129 and 9137 is 83411673.

LCM(9129,9137) = 83411673

LCM of 9129 and 9137

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

LCM of:
and

Least Common Multiple of 9129 and 9137

LCM of 9129 and 9137 is 83411673

Least common multiple can be found by multiplying the highest exponent prime factors of 9129 and 9137. First we will calculate the prime factors of 9129 and 9137.

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

Prime Factorization of 9137


9137 9137
1

Prime factors of 9137 are 9137. Prime factorization of 9137 in exponential form is:

9137 = 91371

Now multiplying the highest exponent prime factors to calculate the LCM of 9129 and 9137.

LCM(9129,9137) = 31×171×1791×91371
LCM(9129,9137) = 83411673

Factors of 9129

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

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

Factors of 9137

List of positive integer factors of 9137 that divides 9137 without a remainder.

1, 9137

Least Common Multiple of 9129 and 9137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9129 and 9137, than apply into the LCM equation.

GCF(9129,9137) = 1
LCM(9129,9137) = ( 9129 × 9137) / 1
LCM(9129,9137) = 83411673 / 1
LCM(9129,9137) = 83411673

Properties of LCM 9129 and 9137

(i) The LCM of 9137 and 9129 is associative

LCM of 9129 and 9137 = LCM of 9137 and 9129

Related Least Common Multiples of 9129

Related Least Common Multiples of 9137

Frequently Asked Questions on LCM of 9129 and 9137

1. What is the LCM of 9129 and 9137?

Answer: LCM of 9129 and 9137 is 83411673.

2. 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.

3. What are the Factors of 9137?

Answer: Factors of 9137 are 1, 9137. There are 2 integers that are factors of 9137. The greatest factor of 9137 is 9137.

4. How to Find the LCM of 9129 and 9137?

Answer:

Least Common Multiple of 9129 and 9137 = 83411673

Step 1: Find the prime factorization of 9129

9129 = 3 x 17 x 179

Step 2: Find the prime factorization of 9137

9137 = 9137

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

LCM = 83411673 = 3 x 17 x 179 x 9137

Step 4: Therefore, the least common multiple of 9129 and 9137 is 83411673.