Least Common Multiple of 9098 and 9102

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 9102 the smallest integer that is 41404998 that is divisible by both numbers.

Least Common Multiple (LCM) of 9098 and 9102 is 41404998.

LCM(9098,9102) = 41404998

LCM of 9098 and 9102

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

LCM of:
and

Least Common Multiple of 9098 and 9102

LCM of 9098 and 9102 is 41404998

Least common multiple can be found by multiplying the highest exponent prime factors of 9098 and 9102. First we will calculate the prime factors of 9098 and 9102.

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 9102


2 9102
3 4551
37 1517
41 41
1

Prime factors of 9102 are 2, 3, 37,41. Prime factorization of 9102 in exponential form is:

9102 = 21×31×371×411

Now multiplying the highest exponent prime factors to calculate the LCM of 9098 and 9102.

LCM(9098,9102) = 21×31×371×411×45491
LCM(9098,9102) = 41404998

Factors of 9098

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

1, 2, 4549, 9098

Factors of 9102

List of positive integer factors of 9102 that divides 9102 without a remainder.

1, 2, 3, 6, 37, 41, 74, 82, 111, 123, 222, 246, 1517, 3034, 4551, 9102

Least Common Multiple of 9098 and 9102 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 9102, than apply into the LCM equation.

GCF(9098,9102) = 2
LCM(9098,9102) = ( 9098 × 9102) / 2
LCM(9098,9102) = 82809996 / 2
LCM(9098,9102) = 41404998

Properties of LCM 9098 and 9102

(i) The LCM of 9102 and 9098 is associative

LCM of 9098 and 9102 = LCM of 9102 and 9098

Related Least Common Multiples of 9098

Related Least Common Multiples of 9102

Frequently Asked Questions on LCM of 9098 and 9102

1. What is the LCM of 9098 and 9102?

Answer: LCM of 9098 and 9102 is 41404998.

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 9102?

Answer: Factors of 9102 are 1, 2, 3, 6, 37, 41, 74, 82, 111, 123, 222, 246, 1517, 3034, 4551, 9102. There are 16 integers that are factors of 9102. The greatest factor of 9102 is 9102.

4. How to Find the LCM of 9098 and 9102?

Answer:

Least Common Multiple of 9098 and 9102 = 41404998

Step 1: Find the prime factorization of 9098

9098 = 2 x 4549

Step 2: Find the prime factorization of 9102

9102 = 2 x 3 x 37 x 41

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

LCM = 41404998 = 2 x 3 x 37 x 41 x 4549

Step 4: Therefore, the least common multiple of 9098 and 9102 is 41404998.