Least Common Multiple of 4263 and 4271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4263 and 4271 the smallest integer that is 18207273 that is divisible by both numbers.

Least Common Multiple (LCM) of 4263 and 4271 is 18207273.

LCM(4263,4271) = 18207273

LCM of 4263 and 4271

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

LCM of:
and

Least Common Multiple of 4263 and 4271

LCM of 4263 and 4271 is 18207273

Least common multiple can be found by multiplying the highest exponent prime factors of 4263 and 4271. First we will calculate the prime factors of 4263 and 4271.

Prime Factorization of 4263


3 4263
7 1421
7 203
29 29
1

Prime factors of 4263 are 3, 7,29. Prime factorization of 4263 in exponential form is:

4263 = 31×72×291

Prime Factorization of 4271


4271 4271
1

Prime factors of 4271 are 4271. Prime factorization of 4271 in exponential form is:

4271 = 42711

Now multiplying the highest exponent prime factors to calculate the LCM of 4263 and 4271.

LCM(4263,4271) = 31×72×291×42711
LCM(4263,4271) = 18207273

Factors of 4263

List of positive integer factors of 4263 that divides 4263 without a remainder.

1, 3, 7, 21, 29, 49, 87, 147, 203, 609, 1421, 4263

Factors of 4271

List of positive integer factors of 4271 that divides 4271 without a remainder.

1, 4271

Least Common Multiple of 4263 and 4271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4263 and 4271, than apply into the LCM equation.

GCF(4263,4271) = 1
LCM(4263,4271) = ( 4263 × 4271) / 1
LCM(4263,4271) = 18207273 / 1
LCM(4263,4271) = 18207273

Properties of LCM 4263 and 4271

(i) The LCM of 4271 and 4263 is associative

LCM of 4263 and 4271 = LCM of 4271 and 4263

Related Least Common Multiples of 4263

Related Least Common Multiples of 4271

Frequently Asked Questions on LCM of 4263 and 4271

1. What is the LCM of 4263 and 4271?

Answer: LCM of 4263 and 4271 is 18207273.

2. What are the Factors of 4263?

Answer: Factors of 4263 are 1, 3, 7, 21, 29, 49, 87, 147, 203, 609, 1421, 4263. There are 12 integers that are factors of 4263. The greatest factor of 4263 is 4263.

3. What are the Factors of 4271?

Answer: Factors of 4271 are 1, 4271. There are 2 integers that are factors of 4271. The greatest factor of 4271 is 4271.

4. How to Find the LCM of 4263 and 4271?

Answer:

Least Common Multiple of 4263 and 4271 = 18207273

Step 1: Find the prime factorization of 4263

4263 = 3 x 7 x 7 x 29

Step 2: Find the prime factorization of 4271

4271 = 4271

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

LCM = 18207273 = 3 x 7 x 7 x 29 x 4271

Step 4: Therefore, the least common multiple of 4263 and 4271 is 18207273.