Least Common Multiple of 9103 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 9103 and 9110 the smallest integer that is 82928330 that is divisible by both numbers.

Least Common Multiple (LCM) of 9103 and 9110 is 82928330.

LCM(9103,9110) = 82928330

LCM of 9103 and 9110

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

LCM of:
and

Least Common Multiple of 9103 and 9110

LCM of 9103 and 9110 is 82928330

Least common multiple can be found by multiplying the highest exponent prime factors of 9103 and 9110. First we will calculate the prime factors of 9103 and 9110.

Prime Factorization of 9103


9103 9103
1

Prime factors of 9103 are 9103. Prime factorization of 9103 in exponential form is:

9103 = 91031

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 9103 and 9110.

LCM(9103,9110) = 21×51×9111×91031
LCM(9103,9110) = 82928330

Factors of 9103

List of positive integer factors of 9103 that divides 9103 without a remainder.

1, 9103

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 9103 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 9103 and 9110, than apply into the LCM equation.

GCF(9103,9110) = 1
LCM(9103,9110) = ( 9103 × 9110) / 1
LCM(9103,9110) = 82928330 / 1
LCM(9103,9110) = 82928330

Properties of LCM 9103 and 9110

(i) The LCM of 9110 and 9103 is associative

LCM of 9103 and 9110 = LCM of 9110 and 9103

Related Least Common Multiples of 9103

Related Least Common Multiples of 9110

Frequently Asked Questions on LCM of 9103 and 9110

1. What is the LCM of 9103 and 9110?

Answer: LCM of 9103 and 9110 is 82928330.

2. What are the Factors of 9103?

Answer: Factors of 9103 are 1, 9103. There are 2 integers that are factors of 9103. The greatest factor of 9103 is 9103.

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 9103 and 9110?

Answer:

Least Common Multiple of 9103 and 9110 = 82928330

Step 1: Find the prime factorization of 9103

9103 = 9103

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 = 82928330 = 2 x 5 x 911 x 9103

Step 4: Therefore, the least common multiple of 9103 and 9110 is 82928330.