Least Common Multiple of 9253 and 9261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9253 and 9261 the smallest integer that is 85692033 that is divisible by both numbers.

Least Common Multiple (LCM) of 9253 and 9261 is 85692033.

LCM(9253,9261) = 85692033

LCM of 9253 and 9261

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

LCM of:
and

Least Common Multiple of 9253 and 9261

LCM of 9253 and 9261 is 85692033

Least common multiple can be found by multiplying the highest exponent prime factors of 9253 and 9261. First we will calculate the prime factors of 9253 and 9261.

Prime Factorization of 9253


19 9253
487 487
1

Prime factors of 9253 are 19,487. Prime factorization of 9253 in exponential form is:

9253 = 191×4871

Prime Factorization of 9261


3 9261
3 3087
3 1029
7 343
7 49
7 7
1

Prime factors of 9261 are 3,7. Prime factorization of 9261 in exponential form is:

9261 = 33×73

Now multiplying the highest exponent prime factors to calculate the LCM of 9253 and 9261.

LCM(9253,9261) = 33×73×191×4871
LCM(9253,9261) = 85692033

Factors of 9253

List of positive integer factors of 9253 that divides 9253 without a remainder.

1, 19, 487, 9253

Factors of 9261

List of positive integer factors of 9261 that divides 9261 without a remainder.

1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261

Least Common Multiple of 9253 and 9261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9253 and 9261, than apply into the LCM equation.

GCF(9253,9261) = 1
LCM(9253,9261) = ( 9253 × 9261) / 1
LCM(9253,9261) = 85692033 / 1
LCM(9253,9261) = 85692033

Properties of LCM 9253 and 9261

(i) The LCM of 9261 and 9253 is associative

LCM of 9253 and 9261 = LCM of 9261 and 9253

Related Least Common Multiples of 9253

Related Least Common Multiples of 9261

Frequently Asked Questions on LCM of 9253 and 9261

1. What is the LCM of 9253 and 9261?

Answer: LCM of 9253 and 9261 is 85692033.

2. What are the Factors of 9253?

Answer: Factors of 9253 are 1, 19, 487, 9253. There are 4 integers that are factors of 9253. The greatest factor of 9253 is 9253.

3. What are the Factors of 9261?

Answer: Factors of 9261 are 1, 3, 7, 9, 21, 27, 49, 63, 147, 189, 343, 441, 1029, 1323, 3087, 9261. There are 16 integers that are factors of 9261. The greatest factor of 9261 is 9261.

4. How to Find the LCM of 9253 and 9261?

Answer:

Least Common Multiple of 9253 and 9261 = 85692033

Step 1: Find the prime factorization of 9253

9253 = 19 x 487

Step 2: Find the prime factorization of 9261

9261 = 3 x 3 x 3 x 7 x 7 x 7

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

LCM = 85692033 = 3 x 3 x 3 x 7 x 7 x 7 x 19 x 487

Step 4: Therefore, the least common multiple of 9253 and 9261 is 85692033.