Least Common Multiple of 7259 and 7264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7259 and 7264 the smallest integer that is 52729376 that is divisible by both numbers.

Least Common Multiple (LCM) of 7259 and 7264 is 52729376.

LCM(7259,7264) = 52729376

LCM of 7259 and 7264

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

LCM of:
and

Least Common Multiple of 7259 and 7264

LCM of 7259 and 7264 is 52729376

Least common multiple can be found by multiplying the highest exponent prime factors of 7259 and 7264. First we will calculate the prime factors of 7259 and 7264.

Prime Factorization of 7259


7 7259
17 1037
61 61
1

Prime factors of 7259 are 7, 17,61. Prime factorization of 7259 in exponential form is:

7259 = 71×171×611

Prime Factorization of 7264


2 7264
2 3632
2 1816
2 908
2 454
227 227
1

Prime factors of 7264 are 2,227. Prime factorization of 7264 in exponential form is:

7264 = 25×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 7259 and 7264.

LCM(7259,7264) = 25×71×171×611×2271
LCM(7259,7264) = 52729376

Factors of 7259

List of positive integer factors of 7259 that divides 7259 without a remainder.

1, 7, 17, 61, 119, 427, 1037, 7259

Factors of 7264

List of positive integer factors of 7264 that divides 7264 without a remainder.

1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264

Least Common Multiple of 7259 and 7264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7259 and 7264, than apply into the LCM equation.

GCF(7259,7264) = 1
LCM(7259,7264) = ( 7259 × 7264) / 1
LCM(7259,7264) = 52729376 / 1
LCM(7259,7264) = 52729376

Properties of LCM 7259 and 7264

(i) The LCM of 7264 and 7259 is associative

LCM of 7259 and 7264 = LCM of 7264 and 7259

Related Least Common Multiples of 7259

Related Least Common Multiples of 7264

Frequently Asked Questions on LCM of 7259 and 7264

1. What is the LCM of 7259 and 7264?

Answer: LCM of 7259 and 7264 is 52729376.

2. What are the Factors of 7259?

Answer: Factors of 7259 are 1, 7, 17, 61, 119, 427, 1037, 7259. There are 8 integers that are factors of 7259. The greatest factor of 7259 is 7259.

3. What are the Factors of 7264?

Answer: Factors of 7264 are 1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264. There are 12 integers that are factors of 7264. The greatest factor of 7264 is 7264.

4. How to Find the LCM of 7259 and 7264?

Answer:

Least Common Multiple of 7259 and 7264 = 52729376

Step 1: Find the prime factorization of 7259

7259 = 7 x 17 x 61

Step 2: Find the prime factorization of 7264

7264 = 2 x 2 x 2 x 2 x 2 x 227

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

LCM = 52729376 = 2 x 2 x 2 x 2 x 2 x 7 x 17 x 61 x 227

Step 4: Therefore, the least common multiple of 7259 and 7264 is 52729376.