Least Common Multiple of 4400 and 4406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4400 and 4406 the smallest integer that is 9693200 that is divisible by both numbers.

Least Common Multiple (LCM) of 4400 and 4406 is 9693200.

LCM(4400,4406) = 9693200

LCM of 4400 and 4406

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

LCM of:
and

Least Common Multiple of 4400 and 4406

LCM of 4400 and 4406 is 9693200

Least common multiple can be found by multiplying the highest exponent prime factors of 4400 and 4406. First we will calculate the prime factors of 4400 and 4406.

Prime Factorization of 4400


2 4400
2 2200
2 1100
2 550
5 275
5 55
11 11
1

Prime factors of 4400 are 2, 5,11. Prime factorization of 4400 in exponential form is:

4400 = 24×52×111

Prime Factorization of 4406


2 4406
2203 2203
1

Prime factors of 4406 are 2,2203. Prime factorization of 4406 in exponential form is:

4406 = 21×22031

Now multiplying the highest exponent prime factors to calculate the LCM of 4400 and 4406.

LCM(4400,4406) = 24×52×111×22031
LCM(4400,4406) = 9693200

Factors of 4400

List of positive integer factors of 4400 that divides 4400 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400

Factors of 4406

List of positive integer factors of 4406 that divides 4406 without a remainder.

1, 2, 2203, 4406

Least Common Multiple of 4400 and 4406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4400 and 4406, than apply into the LCM equation.

GCF(4400,4406) = 2
LCM(4400,4406) = ( 4400 × 4406) / 2
LCM(4400,4406) = 19386400 / 2
LCM(4400,4406) = 9693200

Properties of LCM 4400 and 4406

(i) The LCM of 4406 and 4400 is associative

LCM of 4400 and 4406 = LCM of 4406 and 4400

Related Least Common Multiples of 4400

Related Least Common Multiples of 4406

Frequently Asked Questions on LCM of 4400 and 4406

1. What is the LCM of 4400 and 4406?

Answer: LCM of 4400 and 4406 is 9693200.

2. What are the Factors of 4400?

Answer: Factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400. There are 30 integers that are factors of 4400. The greatest factor of 4400 is 4400.

3. What are the Factors of 4406?

Answer: Factors of 4406 are 1, 2, 2203, 4406. There are 4 integers that are factors of 4406. The greatest factor of 4406 is 4406.

4. How to Find the LCM of 4400 and 4406?

Answer:

Least Common Multiple of 4400 and 4406 = 9693200

Step 1: Find the prime factorization of 4400

4400 = 2 x 2 x 2 x 2 x 5 x 5 x 11

Step 2: Find the prime factorization of 4406

4406 = 2 x 2203

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

LCM = 9693200 = 2 x 2 x 2 x 2 x 5 x 5 x 11 x 2203

Step 4: Therefore, the least common multiple of 4400 and 4406 is 9693200.