Least Common Multiple of 9285 and 9290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9285 and 9290 the smallest integer that is 17251530 that is divisible by both numbers.

Least Common Multiple (LCM) of 9285 and 9290 is 17251530.

LCM(9285,9290) = 17251530

LCM of 9285 and 9290

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

LCM of:
and

Least Common Multiple of 9285 and 9290

LCM of 9285 and 9290 is 17251530

Least common multiple can be found by multiplying the highest exponent prime factors of 9285 and 9290. First we will calculate the prime factors of 9285 and 9290.

Prime Factorization of 9285


3 9285
5 3095
619 619
1

Prime factors of 9285 are 3, 5,619. Prime factorization of 9285 in exponential form is:

9285 = 31×51×6191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9285 and 9290.

LCM(9285,9290) = 21×31×51×6191×9291
LCM(9285,9290) = 17251530

Factors of 9285

List of positive integer factors of 9285 that divides 9285 without a remainder.

1, 3, 5, 15, 619, 1857, 3095, 9285

Factors of 9290

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

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

Least Common Multiple of 9285 and 9290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9285 and 9290, than apply into the LCM equation.

GCF(9285,9290) = 5
LCM(9285,9290) = ( 9285 × 9290) / 5
LCM(9285,9290) = 86257650 / 5
LCM(9285,9290) = 17251530

Properties of LCM 9285 and 9290

(i) The LCM of 9290 and 9285 is associative

LCM of 9285 and 9290 = LCM of 9290 and 9285

Related Least Common Multiples of 9285

Related Least Common Multiples of 9290

Frequently Asked Questions on LCM of 9285 and 9290

1. What is the LCM of 9285 and 9290?

Answer: LCM of 9285 and 9290 is 17251530.

2. What are the Factors of 9285?

Answer: Factors of 9285 are 1, 3, 5, 15, 619, 1857, 3095, 9285. There are 8 integers that are factors of 9285. The greatest factor of 9285 is 9285.

3. 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.

4. How to Find the LCM of 9285 and 9290?

Answer:

Least Common Multiple of 9285 and 9290 = 17251530

Step 1: Find the prime factorization of 9285

9285 = 3 x 5 x 619

Step 2: Find the prime factorization of 9290

9290 = 2 x 5 x 929

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

LCM = 17251530 = 2 x 3 x 5 x 619 x 929

Step 4: Therefore, the least common multiple of 9285 and 9290 is 17251530.