Least Common Multiple of 9130 and 9138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9130 and 9138 the smallest integer that is 41714970 that is divisible by both numbers.

Least Common Multiple (LCM) of 9130 and 9138 is 41714970.

LCM(9130,9138) = 41714970

LCM of 9130 and 9138

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

LCM of:
and

Least Common Multiple of 9130 and 9138

LCM of 9130 and 9138 is 41714970

Least common multiple can be found by multiplying the highest exponent prime factors of 9130 and 9138. First we will calculate the prime factors of 9130 and 9138.

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

Prime Factorization of 9138


2 9138
3 4569
1523 1523
1

Prime factors of 9138 are 2, 3,1523. Prime factorization of 9138 in exponential form is:

9138 = 21×31×15231

Now multiplying the highest exponent prime factors to calculate the LCM of 9130 and 9138.

LCM(9130,9138) = 21×31×51×111×831×15231
LCM(9130,9138) = 41714970

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

Factors of 9138

List of positive integer factors of 9138 that divides 9138 without a remainder.

1, 2, 3, 6, 1523, 3046, 4569, 9138

Least Common Multiple of 9130 and 9138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9130 and 9138, than apply into the LCM equation.

GCF(9130,9138) = 2
LCM(9130,9138) = ( 9130 × 9138) / 2
LCM(9130,9138) = 83429940 / 2
LCM(9130,9138) = 41714970

Properties of LCM 9130 and 9138

(i) The LCM of 9138 and 9130 is associative

LCM of 9130 and 9138 = LCM of 9138 and 9130

Related Least Common Multiples of 9130

Related Least Common Multiples of 9138

Frequently Asked Questions on LCM of 9130 and 9138

1. What is the LCM of 9130 and 9138?

Answer: LCM of 9130 and 9138 is 41714970.

2. 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.

3. What are the Factors of 9138?

Answer: Factors of 9138 are 1, 2, 3, 6, 1523, 3046, 4569, 9138. There are 8 integers that are factors of 9138. The greatest factor of 9138 is 9138.

4. How to Find the LCM of 9130 and 9138?

Answer:

Least Common Multiple of 9130 and 9138 = 41714970

Step 1: Find the prime factorization of 9130

9130 = 2 x 5 x 11 x 83

Step 2: Find the prime factorization of 9138

9138 = 2 x 3 x 1523

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

LCM = 41714970 = 2 x 3 x 5 x 11 x 83 x 1523

Step 4: Therefore, the least common multiple of 9130 and 9138 is 41714970.