Least Common Multiple of 9269 and 9276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9269 and 9276 the smallest integer that is 85979244 that is divisible by both numbers.

Least Common Multiple (LCM) of 9269 and 9276 is 85979244.

LCM(9269,9276) = 85979244

LCM of 9269 and 9276

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

LCM of:
and

Least Common Multiple of 9269 and 9276

LCM of 9269 and 9276 is 85979244

Least common multiple can be found by multiplying the highest exponent prime factors of 9269 and 9276. First we will calculate the prime factors of 9269 and 9276.

Prime Factorization of 9269


13 9269
23 713
31 31
1

Prime factors of 9269 are 13, 23,31. Prime factorization of 9269 in exponential form is:

9269 = 131×231×311

Prime Factorization of 9276


2 9276
2 4638
3 2319
773 773
1

Prime factors of 9276 are 2, 3,773. Prime factorization of 9276 in exponential form is:

9276 = 22×31×7731

Now multiplying the highest exponent prime factors to calculate the LCM of 9269 and 9276.

LCM(9269,9276) = 22×31×131×231×311×7731
LCM(9269,9276) = 85979244

Factors of 9269

List of positive integer factors of 9269 that divides 9269 without a remainder.

1, 13, 23, 31, 299, 403, 713, 9269

Factors of 9276

List of positive integer factors of 9276 that divides 9276 without a remainder.

1, 2, 3, 4, 6, 12, 773, 1546, 2319, 3092, 4638, 9276

Least Common Multiple of 9269 and 9276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9269 and 9276, than apply into the LCM equation.

GCF(9269,9276) = 1
LCM(9269,9276) = ( 9269 × 9276) / 1
LCM(9269,9276) = 85979244 / 1
LCM(9269,9276) = 85979244

Properties of LCM 9269 and 9276

(i) The LCM of 9276 and 9269 is associative

LCM of 9269 and 9276 = LCM of 9276 and 9269

Related Least Common Multiples of 9269

Related Least Common Multiples of 9276

Frequently Asked Questions on LCM of 9269 and 9276

1. What is the LCM of 9269 and 9276?

Answer: LCM of 9269 and 9276 is 85979244.

2. What are the Factors of 9269?

Answer: Factors of 9269 are 1, 13, 23, 31, 299, 403, 713, 9269. There are 8 integers that are factors of 9269. The greatest factor of 9269 is 9269.

3. What are the Factors of 9276?

Answer: Factors of 9276 are 1, 2, 3, 4, 6, 12, 773, 1546, 2319, 3092, 4638, 9276. There are 12 integers that are factors of 9276. The greatest factor of 9276 is 9276.

4. How to Find the LCM of 9269 and 9276?

Answer:

Least Common Multiple of 9269 and 9276 = 85979244

Step 1: Find the prime factorization of 9269

9269 = 13 x 23 x 31

Step 2: Find the prime factorization of 9276

9276 = 2 x 2 x 3 x 773

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

LCM = 85979244 = 2 x 2 x 3 x 13 x 23 x 31 x 773

Step 4: Therefore, the least common multiple of 9269 and 9276 is 85979244.