Least Common Multiple of 4404 and 4409

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 4409 the smallest integer that is 19417236 that is divisible by both numbers.

Least Common Multiple (LCM) of 4404 and 4409 is 19417236.

LCM(4404,4409) = 19417236

LCM of 4404 and 4409

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

LCM of:
and

Least Common Multiple of 4404 and 4409

LCM of 4404 and 4409 is 19417236

Least common multiple can be found by multiplying the highest exponent prime factors of 4404 and 4409. First we will calculate the prime factors of 4404 and 4409.

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 4409


4409 4409
1

Prime factors of 4409 are 4409. Prime factorization of 4409 in exponential form is:

4409 = 44091

Now multiplying the highest exponent prime factors to calculate the LCM of 4404 and 4409.

LCM(4404,4409) = 22×31×3671×44091
LCM(4404,4409) = 19417236

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 4409

List of positive integer factors of 4409 that divides 4409 without a remainder.

1, 4409

Least Common Multiple of 4404 and 4409 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 4409, than apply into the LCM equation.

GCF(4404,4409) = 1
LCM(4404,4409) = ( 4404 × 4409) / 1
LCM(4404,4409) = 19417236 / 1
LCM(4404,4409) = 19417236

Properties of LCM 4404 and 4409

(i) The LCM of 4409 and 4404 is associative

LCM of 4404 and 4409 = LCM of 4409 and 4404

Related Least Common Multiples of 4404

Related Least Common Multiples of 4409

Frequently Asked Questions on LCM of 4404 and 4409

1. What is the LCM of 4404 and 4409?

Answer: LCM of 4404 and 4409 is 19417236.

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 4409?

Answer: Factors of 4409 are 1, 4409. There are 2 integers that are factors of 4409. The greatest factor of 4409 is 4409.

4. How to Find the LCM of 4404 and 4409?

Answer:

Least Common Multiple of 4404 and 4409 = 19417236

Step 1: Find the prime factorization of 4404

4404 = 2 x 2 x 3 x 367

Step 2: Find the prime factorization of 4409

4409 = 4409

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

LCM = 19417236 = 2 x 2 x 3 x 367 x 4409

Step 4: Therefore, the least common multiple of 4404 and 4409 is 19417236.