Least Common Multiple of 4463 and 4471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4463 and 4471 the smallest integer that is 19954073 that is divisible by both numbers.

Least Common Multiple (LCM) of 4463 and 4471 is 19954073.

LCM(4463,4471) = 19954073

LCM of 4463 and 4471

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

LCM of:
and

Least Common Multiple of 4463 and 4471

LCM of 4463 and 4471 is 19954073

Least common multiple can be found by multiplying the highest exponent prime factors of 4463 and 4471. First we will calculate the prime factors of 4463 and 4471.

Prime Factorization of 4463


4463 4463
1

Prime factors of 4463 are 4463. Prime factorization of 4463 in exponential form is:

4463 = 44631

Prime Factorization of 4471


17 4471
263 263
1

Prime factors of 4471 are 17,263. Prime factorization of 4471 in exponential form is:

4471 = 171×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 4463 and 4471.

LCM(4463,4471) = 171×2631×44631
LCM(4463,4471) = 19954073

Factors of 4463

List of positive integer factors of 4463 that divides 4463 without a remainder.

1, 4463

Factors of 4471

List of positive integer factors of 4471 that divides 4471 without a remainder.

1, 17, 263, 4471

Least Common Multiple of 4463 and 4471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4463 and 4471, than apply into the LCM equation.

GCF(4463,4471) = 1
LCM(4463,4471) = ( 4463 × 4471) / 1
LCM(4463,4471) = 19954073 / 1
LCM(4463,4471) = 19954073

Properties of LCM 4463 and 4471

(i) The LCM of 4471 and 4463 is associative

LCM of 4463 and 4471 = LCM of 4471 and 4463

Related Least Common Multiples of 4463

Related Least Common Multiples of 4471

Frequently Asked Questions on LCM of 4463 and 4471

1. What is the LCM of 4463 and 4471?

Answer: LCM of 4463 and 4471 is 19954073.

2. What are the Factors of 4463?

Answer: Factors of 4463 are 1, 4463. There are 2 integers that are factors of 4463. The greatest factor of 4463 is 4463.

3. What are the Factors of 4471?

Answer: Factors of 4471 are 1, 17, 263, 4471. There are 4 integers that are factors of 4471. The greatest factor of 4471 is 4471.

4. How to Find the LCM of 4463 and 4471?

Answer:

Least Common Multiple of 4463 and 4471 = 19954073

Step 1: Find the prime factorization of 4463

4463 = 4463

Step 2: Find the prime factorization of 4471

4471 = 17 x 263

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

LCM = 19954073 = 17 x 263 x 4463

Step 4: Therefore, the least common multiple of 4463 and 4471 is 19954073.