Least Common Multiple of 9284 and 9292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9284 and 9292 the smallest integer that is 21566732 that is divisible by both numbers.

Least Common Multiple (LCM) of 9284 and 9292 is 21566732.

LCM(9284,9292) = 21566732

LCM of 9284 and 9292

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

LCM of:
and

Least Common Multiple of 9284 and 9292

LCM of 9284 and 9292 is 21566732

Least common multiple can be found by multiplying the highest exponent prime factors of 9284 and 9292. First we will calculate the prime factors of 9284 and 9292.

Prime Factorization of 9284


2 9284
2 4642
11 2321
211 211
1

Prime factors of 9284 are 2, 11,211. Prime factorization of 9284 in exponential form is:

9284 = 22×111×2111

Prime Factorization of 9292


2 9292
2 4646
23 2323
101 101
1

Prime factors of 9292 are 2, 23,101. Prime factorization of 9292 in exponential form is:

9292 = 22×231×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 9284 and 9292.

LCM(9284,9292) = 22×111×231×1011×2111
LCM(9284,9292) = 21566732

Factors of 9284

List of positive integer factors of 9284 that divides 9284 without a remainder.

1, 2, 4, 11, 22, 44, 211, 422, 844, 2321, 4642, 9284

Factors of 9292

List of positive integer factors of 9292 that divides 9292 without a remainder.

1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292

Least Common Multiple of 9284 and 9292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9284 and 9292, than apply into the LCM equation.

GCF(9284,9292) = 4
LCM(9284,9292) = ( 9284 × 9292) / 4
LCM(9284,9292) = 86266928 / 4
LCM(9284,9292) = 21566732

Properties of LCM 9284 and 9292

(i) The LCM of 9292 and 9284 is associative

LCM of 9284 and 9292 = LCM of 9292 and 9284

Related Least Common Multiples of 9284

Related Least Common Multiples of 9292

Frequently Asked Questions on LCM of 9284 and 9292

1. What is the LCM of 9284 and 9292?

Answer: LCM of 9284 and 9292 is 21566732.

2. What are the Factors of 9284?

Answer: Factors of 9284 are 1, 2, 4, 11, 22, 44, 211, 422, 844, 2321, 4642, 9284. There are 12 integers that are factors of 9284. The greatest factor of 9284 is 9284.

3. What are the Factors of 9292?

Answer: Factors of 9292 are 1, 2, 4, 23, 46, 92, 101, 202, 404, 2323, 4646, 9292. There are 12 integers that are factors of 9292. The greatest factor of 9292 is 9292.

4. How to Find the LCM of 9284 and 9292?

Answer:

Least Common Multiple of 9284 and 9292 = 21566732

Step 1: Find the prime factorization of 9284

9284 = 2 x 2 x 11 x 211

Step 2: Find the prime factorization of 9292

9292 = 2 x 2 x 23 x 101

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

LCM = 21566732 = 2 x 2 x 11 x 23 x 101 x 211

Step 4: Therefore, the least common multiple of 9284 and 9292 is 21566732.