Least Common Multiple of 7263 and 7271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7263 and 7271 the smallest integer that is 52809273 that is divisible by both numbers.

Least Common Multiple (LCM) of 7263 and 7271 is 52809273.

LCM(7263,7271) = 52809273

LCM of 7263 and 7271

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

LCM of:
and

Least Common Multiple of 7263 and 7271

LCM of 7263 and 7271 is 52809273

Least common multiple can be found by multiplying the highest exponent prime factors of 7263 and 7271. First we will calculate the prime factors of 7263 and 7271.

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

Prime Factorization of 7271


11 7271
661 661
1

Prime factors of 7271 are 11,661. Prime factorization of 7271 in exponential form is:

7271 = 111×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 7263 and 7271.

LCM(7263,7271) = 33×111×2691×6611
LCM(7263,7271) = 52809273

Factors of 7263

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

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

Factors of 7271

List of positive integer factors of 7271 that divides 7271 without a remainder.

1, 11, 661, 7271

Least Common Multiple of 7263 and 7271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7263 and 7271, than apply into the LCM equation.

GCF(7263,7271) = 1
LCM(7263,7271) = ( 7263 × 7271) / 1
LCM(7263,7271) = 52809273 / 1
LCM(7263,7271) = 52809273

Properties of LCM 7263 and 7271

(i) The LCM of 7271 and 7263 is associative

LCM of 7263 and 7271 = LCM of 7271 and 7263

Related Least Common Multiples of 7263

Related Least Common Multiples of 7271

Frequently Asked Questions on LCM of 7263 and 7271

1. What is the LCM of 7263 and 7271?

Answer: LCM of 7263 and 7271 is 52809273.

2. 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.

3. What are the Factors of 7271?

Answer: Factors of 7271 are 1, 11, 661, 7271. There are 4 integers that are factors of 7271. The greatest factor of 7271 is 7271.

4. How to Find the LCM of 7263 and 7271?

Answer:

Least Common Multiple of 7263 and 7271 = 52809273

Step 1: Find the prime factorization of 7263

7263 = 3 x 3 x 3 x 269

Step 2: Find the prime factorization of 7271

7271 = 11 x 661

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

LCM = 52809273 = 3 x 3 x 3 x 11 x 269 x 661

Step 4: Therefore, the least common multiple of 7263 and 7271 is 52809273.