Least Common Multiple of 9095 and 9096

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 9096 the smallest integer that is 82728120 that is divisible by both numbers.

Least Common Multiple (LCM) of 9095 and 9096 is 82728120.

LCM(9095,9096) = 82728120

LCM of 9095 and 9096

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

LCM of:
and

Least Common Multiple of 9095 and 9096

LCM of 9095 and 9096 is 82728120

Least common multiple can be found by multiplying the highest exponent prime factors of 9095 and 9096. First we will calculate the prime factors of 9095 and 9096.

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 9096


2 9096
2 4548
2 2274
3 1137
379 379
1

Prime factors of 9096 are 2, 3,379. Prime factorization of 9096 in exponential form is:

9096 = 23×31×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 9095 and 9096.

LCM(9095,9096) = 23×31×51×171×1071×3791
LCM(9095,9096) = 82728120

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 9096

List of positive integer factors of 9096 that divides 9096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 379, 758, 1137, 1516, 2274, 3032, 4548, 9096

Least Common Multiple of 9095 and 9096 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 9096, than apply into the LCM equation.

GCF(9095,9096) = 1
LCM(9095,9096) = ( 9095 × 9096) / 1
LCM(9095,9096) = 82728120 / 1
LCM(9095,9096) = 82728120

Properties of LCM 9095 and 9096

(i) The LCM of 9096 and 9095 is associative

LCM of 9095 and 9096 = LCM of 9096 and 9095

Related Least Common Multiples of 9095

Related Least Common Multiples of 9096

Frequently Asked Questions on LCM of 9095 and 9096

1. What is the LCM of 9095 and 9096?

Answer: LCM of 9095 and 9096 is 82728120.

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 9096?

Answer: Factors of 9096 are 1, 2, 3, 4, 6, 8, 12, 24, 379, 758, 1137, 1516, 2274, 3032, 4548, 9096. There are 16 integers that are factors of 9096. The greatest factor of 9096 is 9096.

4. How to Find the LCM of 9095 and 9096?

Answer:

Least Common Multiple of 9095 and 9096 = 82728120

Step 1: Find the prime factorization of 9095

9095 = 5 x 17 x 107

Step 2: Find the prime factorization of 9096

9096 = 2 x 2 x 2 x 3 x 379

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

LCM = 82728120 = 2 x 2 x 2 x 3 x 5 x 17 x 107 x 379

Step 4: Therefore, the least common multiple of 9095 and 9096 is 82728120.