Least Common Multiple of 9095 and 9098

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 9098 the smallest integer that is 82746310 that is divisible by both numbers.

Least Common Multiple (LCM) of 9095 and 9098 is 82746310.

LCM(9095,9098) = 82746310

LCM of 9095 and 9098

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

LCM of:
and

Least Common Multiple of 9095 and 9098

LCM of 9095 and 9098 is 82746310

Least common multiple can be found by multiplying the highest exponent prime factors of 9095 and 9098. First we will calculate the prime factors of 9095 and 9098.

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 9098


2 9098
4549 4549
1

Prime factors of 9098 are 2,4549. Prime factorization of 9098 in exponential form is:

9098 = 21×45491

Now multiplying the highest exponent prime factors to calculate the LCM of 9095 and 9098.

LCM(9095,9098) = 21×51×171×1071×45491
LCM(9095,9098) = 82746310

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 9098

List of positive integer factors of 9098 that divides 9098 without a remainder.

1, 2, 4549, 9098

Least Common Multiple of 9095 and 9098 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 9098, than apply into the LCM equation.

GCF(9095,9098) = 1
LCM(9095,9098) = ( 9095 × 9098) / 1
LCM(9095,9098) = 82746310 / 1
LCM(9095,9098) = 82746310

Properties of LCM 9095 and 9098

(i) The LCM of 9098 and 9095 is associative

LCM of 9095 and 9098 = LCM of 9098 and 9095

Related Least Common Multiples of 9095

Related Least Common Multiples of 9098

Frequently Asked Questions on LCM of 9095 and 9098

1. What is the LCM of 9095 and 9098?

Answer: LCM of 9095 and 9098 is 82746310.

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 9098?

Answer: Factors of 9098 are 1, 2, 4549, 9098. There are 4 integers that are factors of 9098. The greatest factor of 9098 is 9098.

4. How to Find the LCM of 9095 and 9098?

Answer:

Least Common Multiple of 9095 and 9098 = 82746310

Step 1: Find the prime factorization of 9095

9095 = 5 x 17 x 107

Step 2: Find the prime factorization of 9098

9098 = 2 x 4549

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

LCM = 82746310 = 2 x 5 x 17 x 107 x 4549

Step 4: Therefore, the least common multiple of 9095 and 9098 is 82746310.