Least Common Multiple of 9269 and 9277

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 9277 the smallest integer that is 85988513 that is divisible by both numbers.

Least Common Multiple (LCM) of 9269 and 9277 is 85988513.

LCM(9269,9277) = 85988513

LCM of 9269 and 9277

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

LCM of:
and

Least Common Multiple of 9269 and 9277

LCM of 9269 and 9277 is 85988513

Least common multiple can be found by multiplying the highest exponent prime factors of 9269 and 9277. First we will calculate the prime factors of 9269 and 9277.

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 9277


9277 9277
1

Prime factors of 9277 are 9277. Prime factorization of 9277 in exponential form is:

9277 = 92771

Now multiplying the highest exponent prime factors to calculate the LCM of 9269 and 9277.

LCM(9269,9277) = 131×231×311×92771
LCM(9269,9277) = 85988513

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 9277

List of positive integer factors of 9277 that divides 9277 without a remainder.

1, 9277

Least Common Multiple of 9269 and 9277 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 9277, than apply into the LCM equation.

GCF(9269,9277) = 1
LCM(9269,9277) = ( 9269 × 9277) / 1
LCM(9269,9277) = 85988513 / 1
LCM(9269,9277) = 85988513

Properties of LCM 9269 and 9277

(i) The LCM of 9277 and 9269 is associative

LCM of 9269 and 9277 = LCM of 9277 and 9269

Related Least Common Multiples of 9269

Related Least Common Multiples of 9277

Frequently Asked Questions on LCM of 9269 and 9277

1. What is the LCM of 9269 and 9277?

Answer: LCM of 9269 and 9277 is 85988513.

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 9277?

Answer: Factors of 9277 are 1, 9277. There are 2 integers that are factors of 9277. The greatest factor of 9277 is 9277.

4. How to Find the LCM of 9269 and 9277?

Answer:

Least Common Multiple of 9269 and 9277 = 85988513

Step 1: Find the prime factorization of 9269

9269 = 13 x 23 x 31

Step 2: Find the prime factorization of 9277

9277 = 9277

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

LCM = 85988513 = 13 x 23 x 31 x 9277

Step 4: Therefore, the least common multiple of 9269 and 9277 is 85988513.