Least Common Multiple of 9294 and 9298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9294 and 9298 the smallest integer that is 43207806 that is divisible by both numbers.

Least Common Multiple (LCM) of 9294 and 9298 is 43207806.

LCM(9294,9298) = 43207806

LCM of 9294 and 9298

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

LCM of:
and

Least Common Multiple of 9294 and 9298

LCM of 9294 and 9298 is 43207806

Least common multiple can be found by multiplying the highest exponent prime factors of 9294 and 9298. First we will calculate the prime factors of 9294 and 9298.

Prime Factorization of 9294


2 9294
3 4647
1549 1549
1

Prime factors of 9294 are 2, 3,1549. Prime factorization of 9294 in exponential form is:

9294 = 21×31×15491

Prime Factorization of 9298


2 9298
4649 4649
1

Prime factors of 9298 are 2,4649. Prime factorization of 9298 in exponential form is:

9298 = 21×46491

Now multiplying the highest exponent prime factors to calculate the LCM of 9294 and 9298.

LCM(9294,9298) = 21×31×15491×46491
LCM(9294,9298) = 43207806

Factors of 9294

List of positive integer factors of 9294 that divides 9294 without a remainder.

1, 2, 3, 6, 1549, 3098, 4647, 9294

Factors of 9298

List of positive integer factors of 9298 that divides 9298 without a remainder.

1, 2, 4649, 9298

Least Common Multiple of 9294 and 9298 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9294 and 9298, than apply into the LCM equation.

GCF(9294,9298) = 2
LCM(9294,9298) = ( 9294 × 9298) / 2
LCM(9294,9298) = 86415612 / 2
LCM(9294,9298) = 43207806

Properties of LCM 9294 and 9298

(i) The LCM of 9298 and 9294 is associative

LCM of 9294 and 9298 = LCM of 9298 and 9294

Related Least Common Multiples of 9294

Related Least Common Multiples of 9298

Frequently Asked Questions on LCM of 9294 and 9298

1. What is the LCM of 9294 and 9298?

Answer: LCM of 9294 and 9298 is 43207806.

2. What are the Factors of 9294?

Answer: Factors of 9294 are 1, 2, 3, 6, 1549, 3098, 4647, 9294. There are 8 integers that are factors of 9294. The greatest factor of 9294 is 9294.

3. What are the Factors of 9298?

Answer: Factors of 9298 are 1, 2, 4649, 9298. There are 4 integers that are factors of 9298. The greatest factor of 9298 is 9298.

4. How to Find the LCM of 9294 and 9298?

Answer:

Least Common Multiple of 9294 and 9298 = 43207806

Step 1: Find the prime factorization of 9294

9294 = 2 x 3 x 1549

Step 2: Find the prime factorization of 9298

9298 = 2 x 4649

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

LCM = 43207806 = 2 x 3 x 1549 x 4649

Step 4: Therefore, the least common multiple of 9294 and 9298 is 43207806.