Least Common Multiple of 4444 and 4449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4444 and 4449 the smallest integer that is 19771356 that is divisible by both numbers.

Least Common Multiple (LCM) of 4444 and 4449 is 19771356.

LCM(4444,4449) = 19771356

LCM of 4444 and 4449

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

LCM of:
and

Least Common Multiple of 4444 and 4449

LCM of 4444 and 4449 is 19771356

Least common multiple can be found by multiplying the highest exponent prime factors of 4444 and 4449. First we will calculate the prime factors of 4444 and 4449.

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

Prime Factorization of 4449


3 4449
1483 1483
1

Prime factors of 4449 are 3,1483. Prime factorization of 4449 in exponential form is:

4449 = 31×14831

Now multiplying the highest exponent prime factors to calculate the LCM of 4444 and 4449.

LCM(4444,4449) = 22×31×111×1011×14831
LCM(4444,4449) = 19771356

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

Factors of 4449

List of positive integer factors of 4449 that divides 4449 without a remainder.

1, 3, 1483, 4449

Least Common Multiple of 4444 and 4449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4444 and 4449, than apply into the LCM equation.

GCF(4444,4449) = 1
LCM(4444,4449) = ( 4444 × 4449) / 1
LCM(4444,4449) = 19771356 / 1
LCM(4444,4449) = 19771356

Properties of LCM 4444 and 4449

(i) The LCM of 4449 and 4444 is associative

LCM of 4444 and 4449 = LCM of 4449 and 4444

Related Least Common Multiples of 4444

Related Least Common Multiples of 4449

Frequently Asked Questions on LCM of 4444 and 4449

1. What is the LCM of 4444 and 4449?

Answer: LCM of 4444 and 4449 is 19771356.

2. 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.

3. What are the Factors of 4449?

Answer: Factors of 4449 are 1, 3, 1483, 4449. There are 4 integers that are factors of 4449. The greatest factor of 4449 is 4449.

4. How to Find the LCM of 4444 and 4449?

Answer:

Least Common Multiple of 4444 and 4449 = 19771356

Step 1: Find the prime factorization of 4444

4444 = 2 x 2 x 11 x 101

Step 2: Find the prime factorization of 4449

4449 = 3 x 1483

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

LCM = 19771356 = 2 x 2 x 3 x 11 x 101 x 1483

Step 4: Therefore, the least common multiple of 4444 and 4449 is 19771356.