Least Common Multiple of 9095 and 9103

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 9103 the smallest integer that is 82791785 that is divisible by both numbers.

Least Common Multiple (LCM) of 9095 and 9103 is 82791785.

LCM(9095,9103) = 82791785

LCM of 9095 and 9103

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

LCM of:
and

Least Common Multiple of 9095 and 9103

LCM of 9095 and 9103 is 82791785

Least common multiple can be found by multiplying the highest exponent prime factors of 9095 and 9103. First we will calculate the prime factors of 9095 and 9103.

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 9103


9103 9103
1

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

9103 = 91031

Now multiplying the highest exponent prime factors to calculate the LCM of 9095 and 9103.

LCM(9095,9103) = 51×171×1071×91031
LCM(9095,9103) = 82791785

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 9103

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

1, 9103

Least Common Multiple of 9095 and 9103 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 9103, than apply into the LCM equation.

GCF(9095,9103) = 1
LCM(9095,9103) = ( 9095 × 9103) / 1
LCM(9095,9103) = 82791785 / 1
LCM(9095,9103) = 82791785

Properties of LCM 9095 and 9103

(i) The LCM of 9103 and 9095 is associative

LCM of 9095 and 9103 = LCM of 9103 and 9095

Related Least Common Multiples of 9095

Related Least Common Multiples of 9103

Frequently Asked Questions on LCM of 9095 and 9103

1. What is the LCM of 9095 and 9103?

Answer: LCM of 9095 and 9103 is 82791785.

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 9103?

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

4. How to Find the LCM of 9095 and 9103?

Answer:

Least Common Multiple of 9095 and 9103 = 82791785

Step 1: Find the prime factorization of 9095

9095 = 5 x 17 x 107

Step 2: Find the prime factorization of 9103

9103 = 9103

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

LCM = 82791785 = 5 x 17 x 107 x 9103

Step 4: Therefore, the least common multiple of 9095 and 9103 is 82791785.