Least Common Multiple of 9103 and 9108

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 9108 the smallest integer that is 82910124 that is divisible by both numbers.

Least Common Multiple (LCM) of 9103 and 9108 is 82910124.

LCM(9103,9108) = 82910124

LCM of 9103 and 9108

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

LCM of:
and

Least Common Multiple of 9103 and 9108

LCM of 9103 and 9108 is 82910124

Least common multiple can be found by multiplying the highest exponent prime factors of 9103 and 9108. First we will calculate the prime factors of 9103 and 9108.

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 9108


2 9108
2 4554
3 2277
3 759
11 253
23 23
1

Prime factors of 9108 are 2, 3, 11,23. Prime factorization of 9108 in exponential form is:

9108 = 22×32×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 9103 and 9108.

LCM(9103,9108) = 22×32×111×231×91031
LCM(9103,9108) = 82910124

Factors of 9103

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

1, 9103

Factors of 9108

List of positive integer factors of 9108 that divides 9108 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554, 9108

Least Common Multiple of 9103 and 9108 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 9108, than apply into the LCM equation.

GCF(9103,9108) = 1
LCM(9103,9108) = ( 9103 × 9108) / 1
LCM(9103,9108) = 82910124 / 1
LCM(9103,9108) = 82910124

Properties of LCM 9103 and 9108

(i) The LCM of 9108 and 9103 is associative

LCM of 9103 and 9108 = LCM of 9108 and 9103

Related Least Common Multiples of 9103

Related Least Common Multiples of 9108

Frequently Asked Questions on LCM of 9103 and 9108

1. What is the LCM of 9103 and 9108?

Answer: LCM of 9103 and 9108 is 82910124.

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 9108?

Answer: Factors of 9108 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554, 9108. There are 36 integers that are factors of 9108. The greatest factor of 9108 is 9108.

4. How to Find the LCM of 9103 and 9108?

Answer:

Least Common Multiple of 9103 and 9108 = 82910124

Step 1: Find the prime factorization of 9103

9103 = 9103

Step 2: Find the prime factorization of 9108

9108 = 2 x 2 x 3 x 3 x 11 x 23

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

LCM = 82910124 = 2 x 2 x 3 x 3 x 11 x 23 x 9103

Step 4: Therefore, the least common multiple of 9103 and 9108 is 82910124.