Least Common Multiple of 7269 and 7275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7269 and 7275 the smallest integer that is 17627325 that is divisible by both numbers.

Least Common Multiple (LCM) of 7269 and 7275 is 17627325.

LCM(7269,7275) = 17627325

LCM of 7269 and 7275

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

LCM of:
and

Least Common Multiple of 7269 and 7275

LCM of 7269 and 7275 is 17627325

Least common multiple can be found by multiplying the highest exponent prime factors of 7269 and 7275. First we will calculate the prime factors of 7269 and 7275.

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

Prime Factorization of 7275


3 7275
5 2425
5 485
97 97
1

Prime factors of 7275 are 3, 5,97. Prime factorization of 7275 in exponential form is:

7275 = 31×52×971

Now multiplying the highest exponent prime factors to calculate the LCM of 7269 and 7275.

LCM(7269,7275) = 31×52×971×24231
LCM(7269,7275) = 17627325

Factors of 7269

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

1, 3, 2423, 7269

Factors of 7275

List of positive integer factors of 7275 that divides 7275 without a remainder.

1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275

Least Common Multiple of 7269 and 7275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7269 and 7275, than apply into the LCM equation.

GCF(7269,7275) = 3
LCM(7269,7275) = ( 7269 × 7275) / 3
LCM(7269,7275) = 52881975 / 3
LCM(7269,7275) = 17627325

Properties of LCM 7269 and 7275

(i) The LCM of 7275 and 7269 is associative

LCM of 7269 and 7275 = LCM of 7275 and 7269

Related Least Common Multiples of 7269

Related Least Common Multiples of 7275

Frequently Asked Questions on LCM of 7269 and 7275

1. What is the LCM of 7269 and 7275?

Answer: LCM of 7269 and 7275 is 17627325.

2. 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.

3. What are the Factors of 7275?

Answer: Factors of 7275 are 1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275. There are 12 integers that are factors of 7275. The greatest factor of 7275 is 7275.

4. How to Find the LCM of 7269 and 7275?

Answer:

Least Common Multiple of 7269 and 7275 = 17627325

Step 1: Find the prime factorization of 7269

7269 = 3 x 2423

Step 2: Find the prime factorization of 7275

7275 = 3 x 5 x 5 x 97

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

LCM = 17627325 = 3 x 5 x 5 x 97 x 2423

Step 4: Therefore, the least common multiple of 7269 and 7275 is 17627325.