Least Common Multiple of 4439 and 4444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4439 and 4444 the smallest integer that is 19726916 that is divisible by both numbers.

Least Common Multiple (LCM) of 4439 and 4444 is 19726916.

LCM(4439,4444) = 19726916

LCM of 4439 and 4444

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

LCM of:
and

Least Common Multiple of 4439 and 4444

LCM of 4439 and 4444 is 19726916

Least common multiple can be found by multiplying the highest exponent prime factors of 4439 and 4444. First we will calculate the prime factors of 4439 and 4444.

Prime Factorization of 4439


23 4439
193 193
1

Prime factors of 4439 are 23,193. Prime factorization of 4439 in exponential form is:

4439 = 231×1931

Prime Factorization of 4444


2 4444
2 2222
11 1111
101 101
1

Prime factors of 4444 are 2, 11,101. Prime factorization of 4444 in exponential form is:

4444 = 22×111×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4439 and 4444.

LCM(4439,4444) = 22×111×231×1011×1931
LCM(4439,4444) = 19726916

Factors of 4439

List of positive integer factors of 4439 that divides 4439 without a remainder.

1, 23, 193, 4439

Factors of 4444

List of positive integer factors of 4444 that divides 4444 without a remainder.

1, 2, 4, 11, 22, 44, 101, 202, 404, 1111, 2222, 4444

Least Common Multiple of 4439 and 4444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4439 and 4444, than apply into the LCM equation.

GCF(4439,4444) = 1
LCM(4439,4444) = ( 4439 × 4444) / 1
LCM(4439,4444) = 19726916 / 1
LCM(4439,4444) = 19726916

Properties of LCM 4439 and 4444

(i) The LCM of 4444 and 4439 is associative

LCM of 4439 and 4444 = LCM of 4444 and 4439

Related Least Common Multiples of 4439

Related Least Common Multiples of 4444

Frequently Asked Questions on LCM of 4439 and 4444

1. What is the LCM of 4439 and 4444?

Answer: LCM of 4439 and 4444 is 19726916.

2. What are the Factors of 4439?

Answer: Factors of 4439 are 1, 23, 193, 4439. There are 4 integers that are factors of 4439. The greatest factor of 4439 is 4439.

3. What are the Factors of 4444?

Answer: Factors of 4444 are 1, 2, 4, 11, 22, 44, 101, 202, 404, 1111, 2222, 4444. There are 12 integers that are factors of 4444. The greatest factor of 4444 is 4444.

4. How to Find the LCM of 4439 and 4444?

Answer:

Least Common Multiple of 4439 and 4444 = 19726916

Step 1: Find the prime factorization of 4439

4439 = 23 x 193

Step 2: Find the prime factorization of 4444

4444 = 2 x 2 x 11 x 101

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

LCM = 19726916 = 2 x 2 x 11 x 23 x 101 x 193

Step 4: Therefore, the least common multiple of 4439 and 4444 is 19726916.