Least Common Multiple of 9107 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 9107 and 9108 the smallest integer that is 82946556 that is divisible by both numbers.

Least Common Multiple (LCM) of 9107 and 9108 is 82946556.

LCM(9107,9108) = 82946556

LCM of 9107 and 9108

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

LCM of:
and

Least Common Multiple of 9107 and 9108

LCM of 9107 and 9108 is 82946556

Least common multiple can be found by multiplying the highest exponent prime factors of 9107 and 9108. First we will calculate the prime factors of 9107 and 9108.

Prime Factorization of 9107


7 9107
1301 1301
1

Prime factors of 9107 are 7,1301. Prime factorization of 9107 in exponential form is:

9107 = 71×13011

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 9107 and 9108.

LCM(9107,9108) = 22×32×71×111×231×13011
LCM(9107,9108) = 82946556

Factors of 9107

List of positive integer factors of 9107 that divides 9107 without a remainder.

1, 7, 1301, 9107

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 9107 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 9107 and 9108, than apply into the LCM equation.

GCF(9107,9108) = 1
LCM(9107,9108) = ( 9107 × 9108) / 1
LCM(9107,9108) = 82946556 / 1
LCM(9107,9108) = 82946556

Properties of LCM 9107 and 9108

(i) The LCM of 9108 and 9107 is associative

LCM of 9107 and 9108 = LCM of 9108 and 9107

Related Least Common Multiples of 9107

Related Least Common Multiples of 9108

Frequently Asked Questions on LCM of 9107 and 9108

1. What is the LCM of 9107 and 9108?

Answer: LCM of 9107 and 9108 is 82946556.

2. What are the Factors of 9107?

Answer: Factors of 9107 are 1, 7, 1301, 9107. There are 4 integers that are factors of 9107. The greatest factor of 9107 is 9107.

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 9107 and 9108?

Answer:

Least Common Multiple of 9107 and 9108 = 82946556

Step 1: Find the prime factorization of 9107

9107 = 7 x 1301

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 = 82946556 = 2 x 2 x 3 x 3 x 7 x 11 x 23 x 1301

Step 4: Therefore, the least common multiple of 9107 and 9108 is 82946556.