Least Common Multiple of 9290 and 9294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9290 and 9294 the smallest integer that is 43170630 that is divisible by both numbers.

Least Common Multiple (LCM) of 9290 and 9294 is 43170630.

LCM(9290,9294) = 43170630

LCM of 9290 and 9294

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

LCM of:
and

Least Common Multiple of 9290 and 9294

LCM of 9290 and 9294 is 43170630

Least common multiple can be found by multiplying the highest exponent prime factors of 9290 and 9294. First we will calculate the prime factors of 9290 and 9294.

Prime Factorization of 9290


2 9290
5 4645
929 929
1

Prime factors of 9290 are 2, 5,929. Prime factorization of 9290 in exponential form is:

9290 = 21×51×9291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9290 and 9294.

LCM(9290,9294) = 21×31×51×9291×15491
LCM(9290,9294) = 43170630

Factors of 9290

List of positive integer factors of 9290 that divides 9290 without a remainder.

1, 2, 5, 10, 929, 1858, 4645, 9290

Factors of 9294

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

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

Least Common Multiple of 9290 and 9294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9290 and 9294, than apply into the LCM equation.

GCF(9290,9294) = 2
LCM(9290,9294) = ( 9290 × 9294) / 2
LCM(9290,9294) = 86341260 / 2
LCM(9290,9294) = 43170630

Properties of LCM 9290 and 9294

(i) The LCM of 9294 and 9290 is associative

LCM of 9290 and 9294 = LCM of 9294 and 9290

Related Least Common Multiples of 9290

Related Least Common Multiples of 9294

Frequently Asked Questions on LCM of 9290 and 9294

1. What is the LCM of 9290 and 9294?

Answer: LCM of 9290 and 9294 is 43170630.

2. What are the Factors of 9290?

Answer: Factors of 9290 are 1, 2, 5, 10, 929, 1858, 4645, 9290. There are 8 integers that are factors of 9290. The greatest factor of 9290 is 9290.

3. 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.

4. How to Find the LCM of 9290 and 9294?

Answer:

Least Common Multiple of 9290 and 9294 = 43170630

Step 1: Find the prime factorization of 9290

9290 = 2 x 5 x 929

Step 2: Find the prime factorization of 9294

9294 = 2 x 3 x 1549

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

LCM = 43170630 = 2 x 3 x 5 x 929 x 1549

Step 4: Therefore, the least common multiple of 9290 and 9294 is 43170630.