Least Common Multiple of 4442 and 4448

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 4448 the smallest integer that is 9879008 that is divisible by both numbers.

Least Common Multiple (LCM) of 4442 and 4448 is 9879008.

LCM(4442,4448) = 9879008

LCM of 4442 and 4448

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

LCM of:
and

Least Common Multiple of 4442 and 4448

LCM of 4442 and 4448 is 9879008

Least common multiple can be found by multiplying the highest exponent prime factors of 4442 and 4448. First we will calculate the prime factors of 4442 and 4448.

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 4448


2 4448
2 2224
2 1112
2 556
2 278
139 139
1

Prime factors of 4448 are 2,139. Prime factorization of 4448 in exponential form is:

4448 = 25×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 4442 and 4448.

LCM(4442,4448) = 25×1391×22211
LCM(4442,4448) = 9879008

Factors of 4442

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

1, 2, 2221, 4442

Factors of 4448

List of positive integer factors of 4448 that divides 4448 without a remainder.

1, 2, 4, 8, 16, 32, 139, 278, 556, 1112, 2224, 4448

Least Common Multiple of 4442 and 4448 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 4448, than apply into the LCM equation.

GCF(4442,4448) = 2
LCM(4442,4448) = ( 4442 × 4448) / 2
LCM(4442,4448) = 19758016 / 2
LCM(4442,4448) = 9879008

Properties of LCM 4442 and 4448

(i) The LCM of 4448 and 4442 is associative

LCM of 4442 and 4448 = LCM of 4448 and 4442

Related Least Common Multiples of 4442

Related Least Common Multiples of 4448

Frequently Asked Questions on LCM of 4442 and 4448

1. What is the LCM of 4442 and 4448?

Answer: LCM of 4442 and 4448 is 9879008.

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 4448?

Answer: Factors of 4448 are 1, 2, 4, 8, 16, 32, 139, 278, 556, 1112, 2224, 4448. There are 12 integers that are factors of 4448. The greatest factor of 4448 is 4448.

4. How to Find the LCM of 4442 and 4448?

Answer:

Least Common Multiple of 4442 and 4448 = 9879008

Step 1: Find the prime factorization of 4442

4442 = 2 x 2221

Step 2: Find the prime factorization of 4448

4448 = 2 x 2 x 2 x 2 x 2 x 139

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

LCM = 9879008 = 2 x 2 x 2 x 2 x 2 x 139 x 2221

Step 4: Therefore, the least common multiple of 4442 and 4448 is 9879008.