Least Common Multiple of 4442 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 4442 and 4449 the smallest integer that is 19762458 that is divisible by both numbers.

Least Common Multiple (LCM) of 4442 and 4449 is 19762458.

LCM(4442,4449) = 19762458

LCM of 4442 and 4449

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

LCM of:
and

Least Common Multiple of 4442 and 4449

LCM of 4442 and 4449 is 19762458

Least common multiple can be found by multiplying the highest exponent prime factors of 4442 and 4449. First we will calculate the prime factors of 4442 and 4449.

Prime Factorization of 4442


2 4442
2221 2221
1

Prime factors of 4442 are 2,2221. Prime factorization of 4442 in exponential form is:

4442 = 21×22211

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 4442 and 4449.

LCM(4442,4449) = 21×31×14831×22211
LCM(4442,4449) = 19762458

Factors of 4442

List of positive integer factors of 4442 that divides 4442 without a remainder.

1, 2, 2221, 4442

Factors of 4449

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

1, 3, 1483, 4449

Least Common Multiple of 4442 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 4442 and 4449, than apply into the LCM equation.

GCF(4442,4449) = 1
LCM(4442,4449) = ( 4442 × 4449) / 1
LCM(4442,4449) = 19762458 / 1
LCM(4442,4449) = 19762458

Properties of LCM 4442 and 4449

(i) The LCM of 4449 and 4442 is associative

LCM of 4442 and 4449 = LCM of 4449 and 4442

Related Least Common Multiples of 4442

Related Least Common Multiples of 4449

Frequently Asked Questions on LCM of 4442 and 4449

1. What is the LCM of 4442 and 4449?

Answer: LCM of 4442 and 4449 is 19762458.

2. What are the Factors of 4442?

Answer: Factors of 4442 are 1, 2, 2221, 4442. There are 4 integers that are factors of 4442. The greatest factor of 4442 is 4442.

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 4442 and 4449?

Answer:

Least Common Multiple of 4442 and 4449 = 19762458

Step 1: Find the prime factorization of 4442

4442 = 2 x 2221

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 = 19762458 = 2 x 3 x 1483 x 2221

Step 4: Therefore, the least common multiple of 4442 and 4449 is 19762458.