Least Common Multiple of 9292 and 9299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9292 and 9299 the smallest integer that is 86406308 that is divisible by both numbers.

Least Common Multiple (LCM) of 9292 and 9299 is 86406308.

LCM(9292,9299) = 86406308

LCM of 9292 and 9299

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

LCM of:
and

Least Common Multiple of 9292 and 9299

LCM of 9292 and 9299 is 86406308

Least common multiple can be found by multiplying the highest exponent prime factors of 9292 and 9299. First we will calculate the prime factors of 9292 and 9299.

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

Prime Factorization of 9299


17 9299
547 547
1

Prime factors of 9299 are 17,547. Prime factorization of 9299 in exponential form is:

9299 = 171×5471

Now multiplying the highest exponent prime factors to calculate the LCM of 9292 and 9299.

LCM(9292,9299) = 22×171×231×1011×5471
LCM(9292,9299) = 86406308

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

Factors of 9299

List of positive integer factors of 9299 that divides 9299 without a remainder.

1, 17, 547, 9299

Least Common Multiple of 9292 and 9299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9292 and 9299, than apply into the LCM equation.

GCF(9292,9299) = 1
LCM(9292,9299) = ( 9292 × 9299) / 1
LCM(9292,9299) = 86406308 / 1
LCM(9292,9299) = 86406308

Properties of LCM 9292 and 9299

(i) The LCM of 9299 and 9292 is associative

LCM of 9292 and 9299 = LCM of 9299 and 9292

Related Least Common Multiples of 9292

Related Least Common Multiples of 9299

Frequently Asked Questions on LCM of 9292 and 9299

1. What is the LCM of 9292 and 9299?

Answer: LCM of 9292 and 9299 is 86406308.

2. 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.

3. What are the Factors of 9299?

Answer: Factors of 9299 are 1, 17, 547, 9299. There are 4 integers that are factors of 9299. The greatest factor of 9299 is 9299.

4. How to Find the LCM of 9292 and 9299?

Answer:

Least Common Multiple of 9292 and 9299 = 86406308

Step 1: Find the prime factorization of 9292

9292 = 2 x 2 x 23 x 101

Step 2: Find the prime factorization of 9299

9299 = 17 x 547

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

LCM = 86406308 = 2 x 2 x 17 x 23 x 101 x 547

Step 4: Therefore, the least common multiple of 9292 and 9299 is 86406308.