Least Common Multiple of 9290 and 9296

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 9296 the smallest integer that is 43179920 that is divisible by both numbers.

Least Common Multiple (LCM) of 9290 and 9296 is 43179920.

LCM(9290,9296) = 43179920

LCM of 9290 and 9296

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

LCM of:
and

Least Common Multiple of 9290 and 9296

LCM of 9290 and 9296 is 43179920

Least common multiple can be found by multiplying the highest exponent prime factors of 9290 and 9296. First we will calculate the prime factors of 9290 and 9296.

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 9296


2 9296
2 4648
2 2324
2 1162
7 581
83 83
1

Prime factors of 9296 are 2, 7,83. Prime factorization of 9296 in exponential form is:

9296 = 24×71×831

Now multiplying the highest exponent prime factors to calculate the LCM of 9290 and 9296.

LCM(9290,9296) = 24×51×71×831×9291
LCM(9290,9296) = 43179920

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 9296

List of positive integer factors of 9296 that divides 9296 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 83, 112, 166, 332, 581, 664, 1162, 1328, 2324, 4648, 9296

Least Common Multiple of 9290 and 9296 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 9296, than apply into the LCM equation.

GCF(9290,9296) = 2
LCM(9290,9296) = ( 9290 × 9296) / 2
LCM(9290,9296) = 86359840 / 2
LCM(9290,9296) = 43179920

Properties of LCM 9290 and 9296

(i) The LCM of 9296 and 9290 is associative

LCM of 9290 and 9296 = LCM of 9296 and 9290

Related Least Common Multiples of 9290

Related Least Common Multiples of 9296

Frequently Asked Questions on LCM of 9290 and 9296

1. What is the LCM of 9290 and 9296?

Answer: LCM of 9290 and 9296 is 43179920.

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 9296?

Answer: Factors of 9296 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 83, 112, 166, 332, 581, 664, 1162, 1328, 2324, 4648, 9296. There are 20 integers that are factors of 9296. The greatest factor of 9296 is 9296.

4. How to Find the LCM of 9290 and 9296?

Answer:

Least Common Multiple of 9290 and 9296 = 43179920

Step 1: Find the prime factorization of 9290

9290 = 2 x 5 x 929

Step 2: Find the prime factorization of 9296

9296 = 2 x 2 x 2 x 2 x 7 x 83

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

LCM = 43179920 = 2 x 2 x 2 x 2 x 5 x 7 x 83 x 929

Step 4: Therefore, the least common multiple of 9290 and 9296 is 43179920.