Least Common Multiple of 4404 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 4404 and 4406 the smallest integer that is 9702012 that is divisible by both numbers.

Least Common Multiple (LCM) of 4404 and 4406 is 9702012.

LCM(4404,4406) = 9702012

LCM of 4404 and 4406

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

LCM of:
and

Least Common Multiple of 4404 and 4406

LCM of 4404 and 4406 is 9702012

Least common multiple can be found by multiplying the highest exponent prime factors of 4404 and 4406. First we will calculate the prime factors of 4404 and 4406.

Prime Factorization of 4404


2 4404
2 2202
3 1101
367 367
1

Prime factors of 4404 are 2, 3,367. Prime factorization of 4404 in exponential form is:

4404 = 22×31×3671

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 4404 and 4406.

LCM(4404,4406) = 22×31×3671×22031
LCM(4404,4406) = 9702012

Factors of 4404

List of positive integer factors of 4404 that divides 4404 without a remainder.

1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404

Factors of 4406

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

1, 2, 2203, 4406

Least Common Multiple of 4404 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 4404 and 4406, than apply into the LCM equation.

GCF(4404,4406) = 2
LCM(4404,4406) = ( 4404 × 4406) / 2
LCM(4404,4406) = 19404024 / 2
LCM(4404,4406) = 9702012

Properties of LCM 4404 and 4406

(i) The LCM of 4406 and 4404 is associative

LCM of 4404 and 4406 = LCM of 4406 and 4404

Related Least Common Multiples of 4404

Related Least Common Multiples of 4406

Frequently Asked Questions on LCM of 4404 and 4406

1. What is the LCM of 4404 and 4406?

Answer: LCM of 4404 and 4406 is 9702012.

2. What are the Factors of 4404?

Answer: Factors of 4404 are 1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404. There are 12 integers that are factors of 4404. The greatest factor of 4404 is 4404.

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 4404 and 4406?

Answer:

Least Common Multiple of 4404 and 4406 = 9702012

Step 1: Find the prime factorization of 4404

4404 = 2 x 2 x 3 x 367

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 = 9702012 = 2 x 2 x 3 x 367 x 2203

Step 4: Therefore, the least common multiple of 4404 and 4406 is 9702012.