Least Common Multiple of 9102 and 9110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9102 and 9110 the smallest integer that is 41459610 that is divisible by both numbers.

Least Common Multiple (LCM) of 9102 and 9110 is 41459610.

LCM(9102,9110) = 41459610

LCM of 9102 and 9110

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

LCM of:
and

Least Common Multiple of 9102 and 9110

LCM of 9102 and 9110 is 41459610

Least common multiple can be found by multiplying the highest exponent prime factors of 9102 and 9110. First we will calculate the prime factors of 9102 and 9110.

Prime Factorization of 9102


2 9102
3 4551
37 1517
41 41
1

Prime factors of 9102 are 2, 3, 37,41. Prime factorization of 9102 in exponential form is:

9102 = 21×31×371×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9102 and 9110.

LCM(9102,9110) = 21×31×51×371×411×9111
LCM(9102,9110) = 41459610

Factors of 9102

List of positive integer factors of 9102 that divides 9102 without a remainder.

1, 2, 3, 6, 37, 41, 74, 82, 111, 123, 222, 246, 1517, 3034, 4551, 9102

Factors of 9110

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

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

Least Common Multiple of 9102 and 9110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9102 and 9110, than apply into the LCM equation.

GCF(9102,9110) = 2
LCM(9102,9110) = ( 9102 × 9110) / 2
LCM(9102,9110) = 82919220 / 2
LCM(9102,9110) = 41459610

Properties of LCM 9102 and 9110

(i) The LCM of 9110 and 9102 is associative

LCM of 9102 and 9110 = LCM of 9110 and 9102

Related Least Common Multiples of 9102

Related Least Common Multiples of 9110

Frequently Asked Questions on LCM of 9102 and 9110

1. What is the LCM of 9102 and 9110?

Answer: LCM of 9102 and 9110 is 41459610.

2. What are the Factors of 9102?

Answer: Factors of 9102 are 1, 2, 3, 6, 37, 41, 74, 82, 111, 123, 222, 246, 1517, 3034, 4551, 9102. There are 16 integers that are factors of 9102. The greatest factor of 9102 is 9102.

3. 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.

4. How to Find the LCM of 9102 and 9110?

Answer:

Least Common Multiple of 9102 and 9110 = 41459610

Step 1: Find the prime factorization of 9102

9102 = 2 x 3 x 37 x 41

Step 2: Find the prime factorization of 9110

9110 = 2 x 5 x 911

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

LCM = 41459610 = 2 x 3 x 5 x 37 x 41 x 911

Step 4: Therefore, the least common multiple of 9102 and 9110 is 41459610.