Least Common Multiple of 7263 and 7269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7263 and 7269 the smallest integer that is 17598249 that is divisible by both numbers.

Least Common Multiple (LCM) of 7263 and 7269 is 17598249.

LCM(7263,7269) = 17598249

LCM of 7263 and 7269

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

LCM of:
and

Least Common Multiple of 7263 and 7269

LCM of 7263 and 7269 is 17598249

Least common multiple can be found by multiplying the highest exponent prime factors of 7263 and 7269. First we will calculate the prime factors of 7263 and 7269.

Prime Factorization of 7263


3 7263
3 2421
3 807
269 269
1

Prime factors of 7263 are 3,269. Prime factorization of 7263 in exponential form is:

7263 = 33×2691

Prime Factorization of 7269


3 7269
2423 2423
1

Prime factors of 7269 are 3,2423. Prime factorization of 7269 in exponential form is:

7269 = 31×24231

Now multiplying the highest exponent prime factors to calculate the LCM of 7263 and 7269.

LCM(7263,7269) = 33×2691×24231
LCM(7263,7269) = 17598249

Factors of 7263

List of positive integer factors of 7263 that divides 7263 without a remainder.

1, 3, 9, 27, 269, 807, 2421, 7263

Factors of 7269

List of positive integer factors of 7269 that divides 7269 without a remainder.

1, 3, 2423, 7269

Least Common Multiple of 7263 and 7269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7263 and 7269, than apply into the LCM equation.

GCF(7263,7269) = 3
LCM(7263,7269) = ( 7263 × 7269) / 3
LCM(7263,7269) = 52794747 / 3
LCM(7263,7269) = 17598249

Properties of LCM 7263 and 7269

(i) The LCM of 7269 and 7263 is associative

LCM of 7263 and 7269 = LCM of 7269 and 7263

Related Least Common Multiples of 7263

Related Least Common Multiples of 7269

Frequently Asked Questions on LCM of 7263 and 7269

1. What is the LCM of 7263 and 7269?

Answer: LCM of 7263 and 7269 is 17598249.

2. What are the Factors of 7263?

Answer: Factors of 7263 are 1, 3, 9, 27, 269, 807, 2421, 7263. There are 8 integers that are factors of 7263. The greatest factor of 7263 is 7263.

3. What are the Factors of 7269?

Answer: Factors of 7269 are 1, 3, 2423, 7269. There are 4 integers that are factors of 7269. The greatest factor of 7269 is 7269.

4. How to Find the LCM of 7263 and 7269?

Answer:

Least Common Multiple of 7263 and 7269 = 17598249

Step 1: Find the prime factorization of 7263

7263 = 3 x 3 x 3 x 269

Step 2: Find the prime factorization of 7269

7269 = 3 x 2423

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

LCM = 17598249 = 3 x 3 x 3 x 269 x 2423

Step 4: Therefore, the least common multiple of 7263 and 7269 is 17598249.