Least Common Multiple of 7256 and 7263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7256 and 7263 the smallest integer that is 52700328 that is divisible by both numbers.

Least Common Multiple (LCM) of 7256 and 7263 is 52700328.

LCM(7256,7263) = 52700328

LCM of 7256 and 7263

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

LCM of:
and

Least Common Multiple of 7256 and 7263

LCM of 7256 and 7263 is 52700328

Least common multiple can be found by multiplying the highest exponent prime factors of 7256 and 7263. First we will calculate the prime factors of 7256 and 7263.

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

Prime Factorization of 7263


3 7263
3 2421
3 807
269 269
1

Prime factors of 7263 are 3,269. Prime factorization of 7263 in exponential form is:

7263 = 33×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 7256 and 7263.

LCM(7256,7263) = 23×33×2691×9071
LCM(7256,7263) = 52700328

Factors of 7256

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

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

Factors of 7263

List of positive integer factors of 7263 that divides 7263 without a remainder.

1, 3, 9, 27, 269, 807, 2421, 7263

Least Common Multiple of 7256 and 7263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7256 and 7263, than apply into the LCM equation.

GCF(7256,7263) = 1
LCM(7256,7263) = ( 7256 × 7263) / 1
LCM(7256,7263) = 52700328 / 1
LCM(7256,7263) = 52700328

Properties of LCM 7256 and 7263

(i) The LCM of 7263 and 7256 is associative

LCM of 7256 and 7263 = LCM of 7263 and 7256

Related Least Common Multiples of 7256

Related Least Common Multiples of 7263

Frequently Asked Questions on LCM of 7256 and 7263

1. What is the LCM of 7256 and 7263?

Answer: LCM of 7256 and 7263 is 52700328.

2. 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.

3. What are the Factors of 7263?

Answer: Factors of 7263 are 1, 3, 9, 27, 269, 807, 2421, 7263. There are 8 integers that are factors of 7263. The greatest factor of 7263 is 7263.

4. How to Find the LCM of 7256 and 7263?

Answer:

Least Common Multiple of 7256 and 7263 = 52700328

Step 1: Find the prime factorization of 7256

7256 = 2 x 2 x 2 x 907

Step 2: Find the prime factorization of 7263

7263 = 3 x 3 x 3 x 269

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

LCM = 52700328 = 2 x 2 x 2 x 3 x 3 x 3 x 269 x 907

Step 4: Therefore, the least common multiple of 7256 and 7263 is 52700328.