Least Common Multiple of 9110 and 9117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9110 and 9117 the smallest integer that is 83055870 that is divisible by both numbers.

Least Common Multiple (LCM) of 9110 and 9117 is 83055870.

LCM(9110,9117) = 83055870

LCM of 9110 and 9117

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

LCM of:
and

Least Common Multiple of 9110 and 9117

LCM of 9110 and 9117 is 83055870

Least common multiple can be found by multiplying the highest exponent prime factors of 9110 and 9117. First we will calculate the prime factors of 9110 and 9117.

Prime Factorization of 9110


2 9110
5 4555
911 911
1

Prime factors of 9110 are 2, 5,911. Prime factorization of 9110 in exponential form is:

9110 = 21×51×9111

Prime Factorization of 9117


3 9117
3 3039
1013 1013
1

Prime factors of 9117 are 3,1013. Prime factorization of 9117 in exponential form is:

9117 = 32×10131

Now multiplying the highest exponent prime factors to calculate the LCM of 9110 and 9117.

LCM(9110,9117) = 21×32×51×9111×10131
LCM(9110,9117) = 83055870

Factors of 9110

List of positive integer factors of 9110 that divides 9110 without a remainder.

1, 2, 5, 10, 911, 1822, 4555, 9110

Factors of 9117

List of positive integer factors of 9117 that divides 9117 without a remainder.

1, 3, 9, 1013, 3039, 9117

Least Common Multiple of 9110 and 9117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9110 and 9117, than apply into the LCM equation.

GCF(9110,9117) = 1
LCM(9110,9117) = ( 9110 × 9117) / 1
LCM(9110,9117) = 83055870 / 1
LCM(9110,9117) = 83055870

Properties of LCM 9110 and 9117

(i) The LCM of 9117 and 9110 is associative

LCM of 9110 and 9117 = LCM of 9117 and 9110

Related Least Common Multiples of 9110

Related Least Common Multiples of 9117

Frequently Asked Questions on LCM of 9110 and 9117

1. What is the LCM of 9110 and 9117?

Answer: LCM of 9110 and 9117 is 83055870.

2. What are the Factors of 9110?

Answer: Factors of 9110 are 1, 2, 5, 10, 911, 1822, 4555, 9110. There are 8 integers that are factors of 9110. The greatest factor of 9110 is 9110.

3. What are the Factors of 9117?

Answer: Factors of 9117 are 1, 3, 9, 1013, 3039, 9117. There are 6 integers that are factors of 9117. The greatest factor of 9117 is 9117.

4. How to Find the LCM of 9110 and 9117?

Answer:

Least Common Multiple of 9110 and 9117 = 83055870

Step 1: Find the prime factorization of 9110

9110 = 2 x 5 x 911

Step 2: Find the prime factorization of 9117

9117 = 3 x 3 x 1013

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

LCM = 83055870 = 2 x 3 x 3 x 5 x 911 x 1013

Step 4: Therefore, the least common multiple of 9110 and 9117 is 83055870.