Least Common Multiple of 7259 and 7265

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 7265 the smallest integer that is 52736635 that is divisible by both numbers.

Least Common Multiple (LCM) of 7259 and 7265 is 52736635.

LCM(7259,7265) = 52736635

LCM of 7259 and 7265

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

LCM of:
and

Least Common Multiple of 7259 and 7265

LCM of 7259 and 7265 is 52736635

Least common multiple can be found by multiplying the highest exponent prime factors of 7259 and 7265. First we will calculate the prime factors of 7259 and 7265.

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 7265


5 7265
1453 1453
1

Prime factors of 7265 are 5,1453. Prime factorization of 7265 in exponential form is:

7265 = 51×14531

Now multiplying the highest exponent prime factors to calculate the LCM of 7259 and 7265.

LCM(7259,7265) = 51×71×171×611×14531
LCM(7259,7265) = 52736635

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 7265

List of positive integer factors of 7265 that divides 7265 without a remainder.

1, 5, 1453, 7265

Least Common Multiple of 7259 and 7265 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 7265, than apply into the LCM equation.

GCF(7259,7265) = 1
LCM(7259,7265) = ( 7259 × 7265) / 1
LCM(7259,7265) = 52736635 / 1
LCM(7259,7265) = 52736635

Properties of LCM 7259 and 7265

(i) The LCM of 7265 and 7259 is associative

LCM of 7259 and 7265 = LCM of 7265 and 7259

Related Least Common Multiples of 7259

Related Least Common Multiples of 7265

Frequently Asked Questions on LCM of 7259 and 7265

1. What is the LCM of 7259 and 7265?

Answer: LCM of 7259 and 7265 is 52736635.

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 7265?

Answer: Factors of 7265 are 1, 5, 1453, 7265. There are 4 integers that are factors of 7265. The greatest factor of 7265 is 7265.

4. How to Find the LCM of 7259 and 7265?

Answer:

Least Common Multiple of 7259 and 7265 = 52736635

Step 1: Find the prime factorization of 7259

7259 = 7 x 17 x 61

Step 2: Find the prime factorization of 7265

7265 = 5 x 1453

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

LCM = 52736635 = 5 x 7 x 17 x 61 x 1453

Step 4: Therefore, the least common multiple of 7259 and 7265 is 52736635.