Least Common Multiple of 7253 and 7256

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 7256 the smallest integer that is 52627768 that is divisible by both numbers.

Least Common Multiple (LCM) of 7253 and 7256 is 52627768.

LCM(7253,7256) = 52627768

LCM of 7253 and 7256

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

LCM of:
and

Least Common Multiple of 7253 and 7256

LCM of 7253 and 7256 is 52627768

Least common multiple can be found by multiplying the highest exponent prime factors of 7253 and 7256. First we will calculate the prime factors of 7253 and 7256.

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 7256


2 7256
2 3628
2 1814
907 907
1

Prime factors of 7256 are 2,907. Prime factorization of 7256 in exponential form is:

7256 = 23×9071

Now multiplying the highest exponent prime factors to calculate the LCM of 7253 and 7256.

LCM(7253,7256) = 23×9071×72531
LCM(7253,7256) = 52627768

Factors of 7253

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

1, 7253

Factors of 7256

List of positive integer factors of 7256 that divides 7256 without a remainder.

1, 2, 4, 8, 907, 1814, 3628, 7256

Least Common Multiple of 7253 and 7256 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 7256, than apply into the LCM equation.

GCF(7253,7256) = 1
LCM(7253,7256) = ( 7253 × 7256) / 1
LCM(7253,7256) = 52627768 / 1
LCM(7253,7256) = 52627768

Properties of LCM 7253 and 7256

(i) The LCM of 7256 and 7253 is associative

LCM of 7253 and 7256 = LCM of 7256 and 7253

Related Least Common Multiples of 7253

Related Least Common Multiples of 7256

Frequently Asked Questions on LCM of 7253 and 7256

1. What is the LCM of 7253 and 7256?

Answer: LCM of 7253 and 7256 is 52627768.

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 7256?

Answer: Factors of 7256 are 1, 2, 4, 8, 907, 1814, 3628, 7256. There are 8 integers that are factors of 7256. The greatest factor of 7256 is 7256.

4. How to Find the LCM of 7253 and 7256?

Answer:

Least Common Multiple of 7253 and 7256 = 52627768

Step 1: Find the prime factorization of 7253

7253 = 7253

Step 2: Find the prime factorization of 7256

7256 = 2 x 2 x 2 x 907

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

LCM = 52627768 = 2 x 2 x 2 x 907 x 7253

Step 4: Therefore, the least common multiple of 7253 and 7256 is 52627768.