Least Common Multiple of 7253 and 7259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7253 and 7259 the smallest integer that is 52649527 that is divisible by both numbers.

Least Common Multiple (LCM) of 7253 and 7259 is 52649527.

LCM(7253,7259) = 52649527

LCM of 7253 and 7259

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

LCM of:
and

Least Common Multiple of 7253 and 7259

LCM of 7253 and 7259 is 52649527

Least common multiple can be found by multiplying the highest exponent prime factors of 7253 and 7259. First we will calculate the prime factors of 7253 and 7259.

Prime Factorization of 7253


7253 7253
1

Prime factors of 7253 are 7253. Prime factorization of 7253 in exponential form is:

7253 = 72531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7253 and 7259.

LCM(7253,7259) = 71×171×611×72531
LCM(7253,7259) = 52649527

Factors of 7253

List of positive integer factors of 7253 that divides 7253 without a remainder.

1, 7253

Factors of 7259

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

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

Least Common Multiple of 7253 and 7259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7253 and 7259, than apply into the LCM equation.

GCF(7253,7259) = 1
LCM(7253,7259) = ( 7253 × 7259) / 1
LCM(7253,7259) = 52649527 / 1
LCM(7253,7259) = 52649527

Properties of LCM 7253 and 7259

(i) The LCM of 7259 and 7253 is associative

LCM of 7253 and 7259 = LCM of 7259 and 7253

Related Least Common Multiples of 7253

Related Least Common Multiples of 7259

Frequently Asked Questions on LCM of 7253 and 7259

1. What is the LCM of 7253 and 7259?

Answer: LCM of 7253 and 7259 is 52649527.

2. What are the Factors of 7253?

Answer: Factors of 7253 are 1, 7253. There are 2 integers that are factors of 7253. The greatest factor of 7253 is 7253.

3. 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.

4. How to Find the LCM of 7253 and 7259?

Answer:

Least Common Multiple of 7253 and 7259 = 52649527

Step 1: Find the prime factorization of 7253

7253 = 7253

Step 2: Find the prime factorization of 7259

7259 = 7 x 17 x 61

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

LCM = 52649527 = 7 x 17 x 61 x 7253

Step 4: Therefore, the least common multiple of 7253 and 7259 is 52649527.