Least Common Multiple of 4398 and 4404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4398 and 4404 the smallest integer that is 3228132 that is divisible by both numbers.

Least Common Multiple (LCM) of 4398 and 4404 is 3228132.

LCM(4398,4404) = 3228132

LCM of 4398 and 4404

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

LCM of:
and

Least Common Multiple of 4398 and 4404

LCM of 4398 and 4404 is 3228132

Least common multiple can be found by multiplying the highest exponent prime factors of 4398 and 4404. First we will calculate the prime factors of 4398 and 4404.

Prime Factorization of 4398


2 4398
3 2199
733 733
1

Prime factors of 4398 are 2, 3,733. Prime factorization of 4398 in exponential form is:

4398 = 21×31×7331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4398 and 4404.

LCM(4398,4404) = 22×31×3671×7331
LCM(4398,4404) = 3228132

Factors of 4398

List of positive integer factors of 4398 that divides 4398 without a remainder.

1, 2, 3, 6, 733, 1466, 2199, 4398

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

Least Common Multiple of 4398 and 4404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4398 and 4404, than apply into the LCM equation.

GCF(4398,4404) = 6
LCM(4398,4404) = ( 4398 × 4404) / 6
LCM(4398,4404) = 19368792 / 6
LCM(4398,4404) = 3228132

Properties of LCM 4398 and 4404

(i) The LCM of 4404 and 4398 is associative

LCM of 4398 and 4404 = LCM of 4404 and 4398

Related Least Common Multiples of 4398

Related Least Common Multiples of 4404

Frequently Asked Questions on LCM of 4398 and 4404

1. What is the LCM of 4398 and 4404?

Answer: LCM of 4398 and 4404 is 3228132.

2. What are the Factors of 4398?

Answer: Factors of 4398 are 1, 2, 3, 6, 733, 1466, 2199, 4398. There are 8 integers that are factors of 4398. The greatest factor of 4398 is 4398.

3. 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.

4. How to Find the LCM of 4398 and 4404?

Answer:

Least Common Multiple of 4398 and 4404 = 3228132

Step 1: Find the prime factorization of 4398

4398 = 2 x 3 x 733

Step 2: Find the prime factorization of 4404

4404 = 2 x 2 x 3 x 367

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

LCM = 3228132 = 2 x 2 x 3 x 367 x 733

Step 4: Therefore, the least common multiple of 4398 and 4404 is 3228132.