Least Common Multiple of 9290 and 9295

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 9295 the smallest integer that is 17270110 that is divisible by both numbers.

Least Common Multiple (LCM) of 9290 and 9295 is 17270110.

LCM(9290,9295) = 17270110

LCM of 9290 and 9295

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

LCM of:
and

Least Common Multiple of 9290 and 9295

LCM of 9290 and 9295 is 17270110

Least common multiple can be found by multiplying the highest exponent prime factors of 9290 and 9295. First we will calculate the prime factors of 9290 and 9295.

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 9295


5 9295
11 1859
13 169
13 13
1

Prime factors of 9295 are 5, 11,13. Prime factorization of 9295 in exponential form is:

9295 = 51×111×132

Now multiplying the highest exponent prime factors to calculate the LCM of 9290 and 9295.

LCM(9290,9295) = 21×51×111×132×9291
LCM(9290,9295) = 17270110

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 9295

List of positive integer factors of 9295 that divides 9295 without a remainder.

1, 5, 11, 13, 55, 65, 143, 169, 715, 845, 1859, 9295

Least Common Multiple of 9290 and 9295 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 9295, than apply into the LCM equation.

GCF(9290,9295) = 5
LCM(9290,9295) = ( 9290 × 9295) / 5
LCM(9290,9295) = 86350550 / 5
LCM(9290,9295) = 17270110

Properties of LCM 9290 and 9295

(i) The LCM of 9295 and 9290 is associative

LCM of 9290 and 9295 = LCM of 9295 and 9290

Related Least Common Multiples of 9290

Related Least Common Multiples of 9295

Frequently Asked Questions on LCM of 9290 and 9295

1. What is the LCM of 9290 and 9295?

Answer: LCM of 9290 and 9295 is 17270110.

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 9295?

Answer: Factors of 9295 are 1, 5, 11, 13, 55, 65, 143, 169, 715, 845, 1859, 9295. There are 12 integers that are factors of 9295. The greatest factor of 9295 is 9295.

4. How to Find the LCM of 9290 and 9295?

Answer:

Least Common Multiple of 9290 and 9295 = 17270110

Step 1: Find the prime factorization of 9290

9290 = 2 x 5 x 929

Step 2: Find the prime factorization of 9295

9295 = 5 x 11 x 13 x 13

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

LCM = 17270110 = 2 x 5 x 11 x 13 x 13 x 929

Step 4: Therefore, the least common multiple of 9290 and 9295 is 17270110.