Least Common Multiple of 9126 and 9130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9126 and 9130 the smallest integer that is 41660190 that is divisible by both numbers.

Least Common Multiple (LCM) of 9126 and 9130 is 41660190.

LCM(9126,9130) = 41660190

LCM of 9126 and 9130

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

LCM of:
and

Least Common Multiple of 9126 and 9130

LCM of 9126 and 9130 is 41660190

Least common multiple can be found by multiplying the highest exponent prime factors of 9126 and 9130. First we will calculate the prime factors of 9126 and 9130.

Prime Factorization of 9126


2 9126
3 4563
3 1521
3 507
13 169
13 13
1

Prime factors of 9126 are 2, 3,13. Prime factorization of 9126 in exponential form is:

9126 = 21×33×132

Prime Factorization of 9130


2 9130
5 4565
11 913
83 83
1

Prime factors of 9130 are 2, 5, 11,83. Prime factorization of 9130 in exponential form is:

9130 = 21×51×111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 9126 and 9130.

LCM(9126,9130) = 21×33×51×111×132×831
LCM(9126,9130) = 41660190

Factors of 9126

List of positive integer factors of 9126 that divides 9126 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 169, 234, 338, 351, 507, 702, 1014, 1521, 3042, 4563, 9126

Factors of 9130

List of positive integer factors of 9130 that divides 9130 without a remainder.

1, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565, 9130

Least Common Multiple of 9126 and 9130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9126 and 9130, than apply into the LCM equation.

GCF(9126,9130) = 2
LCM(9126,9130) = ( 9126 × 9130) / 2
LCM(9126,9130) = 83320380 / 2
LCM(9126,9130) = 41660190

Properties of LCM 9126 and 9130

(i) The LCM of 9130 and 9126 is associative

LCM of 9126 and 9130 = LCM of 9130 and 9126

Related Least Common Multiples of 9126

Related Least Common Multiples of 9130

Frequently Asked Questions on LCM of 9126 and 9130

1. What is the LCM of 9126 and 9130?

Answer: LCM of 9126 and 9130 is 41660190.

2. What are the Factors of 9126?

Answer: Factors of 9126 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 169, 234, 338, 351, 507, 702, 1014, 1521, 3042, 4563, 9126. There are 24 integers that are factors of 9126. The greatest factor of 9126 is 9126.

3. What are the Factors of 9130?

Answer: Factors of 9130 are 1, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565, 9130. There are 16 integers that are factors of 9130. The greatest factor of 9130 is 9130.

4. How to Find the LCM of 9126 and 9130?

Answer:

Least Common Multiple of 9126 and 9130 = 41660190

Step 1: Find the prime factorization of 9126

9126 = 2 x 3 x 3 x 3 x 13 x 13

Step 2: Find the prime factorization of 9130

9130 = 2 x 5 x 11 x 83

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

LCM = 41660190 = 2 x 3 x 3 x 3 x 5 x 11 x 13 x 13 x 83

Step 4: Therefore, the least common multiple of 9126 and 9130 is 41660190.