Least Common Multiple of 7255 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 7255 and 7263 the smallest integer that is 52693065 that is divisible by both numbers.

Least Common Multiple (LCM) of 7255 and 7263 is 52693065.

LCM(7255,7263) = 52693065

LCM of 7255 and 7263

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

LCM of:
and

Least Common Multiple of 7255 and 7263

LCM of 7255 and 7263 is 52693065

Least common multiple can be found by multiplying the highest exponent prime factors of 7255 and 7263. First we will calculate the prime factors of 7255 and 7263.

Prime Factorization of 7255


5 7255
1451 1451
1

Prime factors of 7255 are 5,1451. Prime factorization of 7255 in exponential form is:

7255 = 51×14511

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 7255 and 7263.

LCM(7255,7263) = 33×51×2691×14511
LCM(7255,7263) = 52693065

Factors of 7255

List of positive integer factors of 7255 that divides 7255 without a remainder.

1, 5, 1451, 7255

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 7255 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 7255 and 7263, than apply into the LCM equation.

GCF(7255,7263) = 1
LCM(7255,7263) = ( 7255 × 7263) / 1
LCM(7255,7263) = 52693065 / 1
LCM(7255,7263) = 52693065

Properties of LCM 7255 and 7263

(i) The LCM of 7263 and 7255 is associative

LCM of 7255 and 7263 = LCM of 7263 and 7255

Related Least Common Multiples of 7255

Related Least Common Multiples of 7263

Frequently Asked Questions on LCM of 7255 and 7263

1. What is the LCM of 7255 and 7263?

Answer: LCM of 7255 and 7263 is 52693065.

2. What are the Factors of 7255?

Answer: Factors of 7255 are 1, 5, 1451, 7255. There are 4 integers that are factors of 7255. The greatest factor of 7255 is 7255.

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 7255 and 7263?

Answer:

Least Common Multiple of 7255 and 7263 = 52693065

Step 1: Find the prime factorization of 7255

7255 = 5 x 1451

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 = 52693065 = 3 x 3 x 3 x 5 x 269 x 1451

Step 4: Therefore, the least common multiple of 7255 and 7263 is 52693065.