Least Common Multiple of 9130 and 9136

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 9136 the smallest integer that is 41705840 that is divisible by both numbers.

Least Common Multiple (LCM) of 9130 and 9136 is 41705840.

LCM(9130,9136) = 41705840

LCM of 9130 and 9136

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

LCM of:
and

Least Common Multiple of 9130 and 9136

LCM of 9130 and 9136 is 41705840

Least common multiple can be found by multiplying the highest exponent prime factors of 9130 and 9136. First we will calculate the prime factors of 9130 and 9136.

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 9136


2 9136
2 4568
2 2284
2 1142
571 571
1

Prime factors of 9136 are 2,571. Prime factorization of 9136 in exponential form is:

9136 = 24×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 9130 and 9136.

LCM(9130,9136) = 24×51×111×831×5711
LCM(9130,9136) = 41705840

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 9136

List of positive integer factors of 9136 that divides 9136 without a remainder.

1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136

Least Common Multiple of 9130 and 9136 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 9136, than apply into the LCM equation.

GCF(9130,9136) = 2
LCM(9130,9136) = ( 9130 × 9136) / 2
LCM(9130,9136) = 83411680 / 2
LCM(9130,9136) = 41705840

Properties of LCM 9130 and 9136

(i) The LCM of 9136 and 9130 is associative

LCM of 9130 and 9136 = LCM of 9136 and 9130

Related Least Common Multiples of 9130

Related Least Common Multiples of 9136

Frequently Asked Questions on LCM of 9130 and 9136

1. What is the LCM of 9130 and 9136?

Answer: LCM of 9130 and 9136 is 41705840.

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 9136?

Answer: Factors of 9136 are 1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136. There are 10 integers that are factors of 9136. The greatest factor of 9136 is 9136.

4. How to Find the LCM of 9130 and 9136?

Answer:

Least Common Multiple of 9130 and 9136 = 41705840

Step 1: Find the prime factorization of 9130

9130 = 2 x 5 x 11 x 83

Step 2: Find the prime factorization of 9136

9136 = 2 x 2 x 2 x 2 x 571

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

LCM = 41705840 = 2 x 2 x 2 x 2 x 5 x 11 x 83 x 571

Step 4: Therefore, the least common multiple of 9130 and 9136 is 41705840.