Least Common Multiple of 4423 and 4431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4423 and 4431 the smallest integer that is 19598313 that is divisible by both numbers.

Least Common Multiple (LCM) of 4423 and 4431 is 19598313.

LCM(4423,4431) = 19598313

LCM of 4423 and 4431

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

LCM of:
and

Least Common Multiple of 4423 and 4431

LCM of 4423 and 4431 is 19598313

Least common multiple can be found by multiplying the highest exponent prime factors of 4423 and 4431. First we will calculate the prime factors of 4423 and 4431.

Prime Factorization of 4423


4423 4423
1

Prime factors of 4423 are 4423. Prime factorization of 4423 in exponential form is:

4423 = 44231

Prime Factorization of 4431


3 4431
7 1477
211 211
1

Prime factors of 4431 are 3, 7,211. Prime factorization of 4431 in exponential form is:

4431 = 31×71×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 4423 and 4431.

LCM(4423,4431) = 31×71×2111×44231
LCM(4423,4431) = 19598313

Factors of 4423

List of positive integer factors of 4423 that divides 4423 without a remainder.

1, 4423

Factors of 4431

List of positive integer factors of 4431 that divides 4431 without a remainder.

1, 3, 7, 21, 211, 633, 1477, 4431

Least Common Multiple of 4423 and 4431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4423 and 4431, than apply into the LCM equation.

GCF(4423,4431) = 1
LCM(4423,4431) = ( 4423 × 4431) / 1
LCM(4423,4431) = 19598313 / 1
LCM(4423,4431) = 19598313

Properties of LCM 4423 and 4431

(i) The LCM of 4431 and 4423 is associative

LCM of 4423 and 4431 = LCM of 4431 and 4423

Related Least Common Multiples of 4423

Related Least Common Multiples of 4431

Frequently Asked Questions on LCM of 4423 and 4431

1. What is the LCM of 4423 and 4431?

Answer: LCM of 4423 and 4431 is 19598313.

2. What are the Factors of 4423?

Answer: Factors of 4423 are 1, 4423. There are 2 integers that are factors of 4423. The greatest factor of 4423 is 4423.

3. What are the Factors of 4431?

Answer: Factors of 4431 are 1, 3, 7, 21, 211, 633, 1477, 4431. There are 8 integers that are factors of 4431. The greatest factor of 4431 is 4431.

4. How to Find the LCM of 4423 and 4431?

Answer:

Least Common Multiple of 4423 and 4431 = 19598313

Step 1: Find the prime factorization of 4423

4423 = 4423

Step 2: Find the prime factorization of 4431

4431 = 3 x 7 x 211

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

LCM = 19598313 = 3 x 7 x 211 x 4423

Step 4: Therefore, the least common multiple of 4423 and 4431 is 19598313.