Least Common Multiple of 4423 and 4428

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 4428 the smallest integer that is 19585044 that is divisible by both numbers.

Least Common Multiple (LCM) of 4423 and 4428 is 19585044.

LCM(4423,4428) = 19585044

LCM of 4423 and 4428

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

LCM of:
and

Least Common Multiple of 4423 and 4428

LCM of 4423 and 4428 is 19585044

Least common multiple can be found by multiplying the highest exponent prime factors of 4423 and 4428. First we will calculate the prime factors of 4423 and 4428.

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 4428


2 4428
2 2214
3 1107
3 369
3 123
41 41
1

Prime factors of 4428 are 2, 3,41. Prime factorization of 4428 in exponential form is:

4428 = 22×33×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4423 and 4428.

LCM(4423,4428) = 22×33×411×44231
LCM(4423,4428) = 19585044

Factors of 4423

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

1, 4423

Factors of 4428

List of positive integer factors of 4428 that divides 4428 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428

Least Common Multiple of 4423 and 4428 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 4428, than apply into the LCM equation.

GCF(4423,4428) = 1
LCM(4423,4428) = ( 4423 × 4428) / 1
LCM(4423,4428) = 19585044 / 1
LCM(4423,4428) = 19585044

Properties of LCM 4423 and 4428

(i) The LCM of 4428 and 4423 is associative

LCM of 4423 and 4428 = LCM of 4428 and 4423

Related Least Common Multiples of 4423

Related Least Common Multiples of 4428

Frequently Asked Questions on LCM of 4423 and 4428

1. What is the LCM of 4423 and 4428?

Answer: LCM of 4423 and 4428 is 19585044.

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 4428?

Answer: Factors of 4428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428. There are 24 integers that are factors of 4428. The greatest factor of 4428 is 4428.

4. How to Find the LCM of 4423 and 4428?

Answer:

Least Common Multiple of 4423 and 4428 = 19585044

Step 1: Find the prime factorization of 4423

4423 = 4423

Step 2: Find the prime factorization of 4428

4428 = 2 x 2 x 3 x 3 x 3 x 41

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

LCM = 19585044 = 2 x 2 x 3 x 3 x 3 x 41 x 4423

Step 4: Therefore, the least common multiple of 4423 and 4428 is 19585044.