Least Common Multiple of 9095 and 9100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9095 and 9100 the smallest integer that is 16552900 that is divisible by both numbers.

Least Common Multiple (LCM) of 9095 and 9100 is 16552900.

LCM(9095,9100) = 16552900

LCM of 9095 and 9100

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

LCM of:
and

Least Common Multiple of 9095 and 9100

LCM of 9095 and 9100 is 16552900

Least common multiple can be found by multiplying the highest exponent prime factors of 9095 and 9100. First we will calculate the prime factors of 9095 and 9100.

Prime Factorization of 9095


5 9095
17 1819
107 107
1

Prime factors of 9095 are 5, 17,107. Prime factorization of 9095 in exponential form is:

9095 = 51×171×1071

Prime Factorization of 9100


2 9100
2 4550
5 2275
5 455
7 91
13 13
1

Prime factors of 9100 are 2, 5, 7,13. Prime factorization of 9100 in exponential form is:

9100 = 22×52×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 9095 and 9100.

LCM(9095,9100) = 22×52×71×131×171×1071
LCM(9095,9100) = 16552900

Factors of 9095

List of positive integer factors of 9095 that divides 9095 without a remainder.

1, 5, 17, 85, 107, 535, 1819, 9095

Factors of 9100

List of positive integer factors of 9100 that divides 9100 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550, 9100

Least Common Multiple of 9095 and 9100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9095 and 9100, than apply into the LCM equation.

GCF(9095,9100) = 5
LCM(9095,9100) = ( 9095 × 9100) / 5
LCM(9095,9100) = 82764500 / 5
LCM(9095,9100) = 16552900

Properties of LCM 9095 and 9100

(i) The LCM of 9100 and 9095 is associative

LCM of 9095 and 9100 = LCM of 9100 and 9095

Related Least Common Multiples of 9095

Related Least Common Multiples of 9100

Frequently Asked Questions on LCM of 9095 and 9100

1. What is the LCM of 9095 and 9100?

Answer: LCM of 9095 and 9100 is 16552900.

2. What are the Factors of 9095?

Answer: Factors of 9095 are 1, 5, 17, 85, 107, 535, 1819, 9095. There are 8 integers that are factors of 9095. The greatest factor of 9095 is 9095.

3. What are the Factors of 9100?

Answer: Factors of 9100 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550, 9100. There are 36 integers that are factors of 9100. The greatest factor of 9100 is 9100.

4. How to Find the LCM of 9095 and 9100?

Answer:

Least Common Multiple of 9095 and 9100 = 16552900

Step 1: Find the prime factorization of 9095

9095 = 5 x 17 x 107

Step 2: Find the prime factorization of 9100

9100 = 2 x 2 x 5 x 5 x 7 x 13

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

LCM = 16552900 = 2 x 2 x 5 x 5 x 7 x 13 x 17 x 107

Step 4: Therefore, the least common multiple of 9095 and 9100 is 16552900.