Least Common Multiple of 9098 and 9104

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9098 and 9104 the smallest integer that is 41414096 that is divisible by both numbers.

Least Common Multiple (LCM) of 9098 and 9104 is 41414096.

LCM(9098,9104) = 41414096

LCM of 9098 and 9104

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

LCM of:
and

Least Common Multiple of 9098 and 9104

LCM of 9098 and 9104 is 41414096

Least common multiple can be found by multiplying the highest exponent prime factors of 9098 and 9104. First we will calculate the prime factors of 9098 and 9104.

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

Prime Factorization of 9104


2 9104
2 4552
2 2276
2 1138
569 569
1

Prime factors of 9104 are 2,569. Prime factorization of 9104 in exponential form is:

9104 = 24×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 9098 and 9104.

LCM(9098,9104) = 24×5691×45491
LCM(9098,9104) = 41414096

Factors of 9098

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

1, 2, 4549, 9098

Factors of 9104

List of positive integer factors of 9104 that divides 9104 without a remainder.

1, 2, 4, 8, 16, 569, 1138, 2276, 4552, 9104

Least Common Multiple of 9098 and 9104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9098 and 9104, than apply into the LCM equation.

GCF(9098,9104) = 2
LCM(9098,9104) = ( 9098 × 9104) / 2
LCM(9098,9104) = 82828192 / 2
LCM(9098,9104) = 41414096

Properties of LCM 9098 and 9104

(i) The LCM of 9104 and 9098 is associative

LCM of 9098 and 9104 = LCM of 9104 and 9098

Related Least Common Multiples of 9098

Related Least Common Multiples of 9104

Frequently Asked Questions on LCM of 9098 and 9104

1. What is the LCM of 9098 and 9104?

Answer: LCM of 9098 and 9104 is 41414096.

2. 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.

3. What are the Factors of 9104?

Answer: Factors of 9104 are 1, 2, 4, 8, 16, 569, 1138, 2276, 4552, 9104. There are 10 integers that are factors of 9104. The greatest factor of 9104 is 9104.

4. How to Find the LCM of 9098 and 9104?

Answer:

Least Common Multiple of 9098 and 9104 = 41414096

Step 1: Find the prime factorization of 9098

9098 = 2 x 4549

Step 2: Find the prime factorization of 9104

9104 = 2 x 2 x 2 x 2 x 569

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

LCM = 41414096 = 2 x 2 x 2 x 2 x 569 x 4549

Step 4: Therefore, the least common multiple of 9098 and 9104 is 41414096.