Least Common Multiple of 4404 and 4408

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 4408 the smallest integer that is 4853208 that is divisible by both numbers.

Least Common Multiple (LCM) of 4404 and 4408 is 4853208.

LCM(4404,4408) = 4853208

LCM of 4404 and 4408

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

LCM of:
and

Least Common Multiple of 4404 and 4408

LCM of 4404 and 4408 is 4853208

Least common multiple can be found by multiplying the highest exponent prime factors of 4404 and 4408. First we will calculate the prime factors of 4404 and 4408.

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 4408


2 4408
2 2204
2 1102
19 551
29 29
1

Prime factors of 4408 are 2, 19,29. Prime factorization of 4408 in exponential form is:

4408 = 23×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4404 and 4408.

LCM(4404,4408) = 23×31×191×291×3671
LCM(4404,4408) = 4853208

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 4408

List of positive integer factors of 4408 that divides 4408 without a remainder.

1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408

Least Common Multiple of 4404 and 4408 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 4408, than apply into the LCM equation.

GCF(4404,4408) = 4
LCM(4404,4408) = ( 4404 × 4408) / 4
LCM(4404,4408) = 19412832 / 4
LCM(4404,4408) = 4853208

Properties of LCM 4404 and 4408

(i) The LCM of 4408 and 4404 is associative

LCM of 4404 and 4408 = LCM of 4408 and 4404

Related Least Common Multiples of 4404

Related Least Common Multiples of 4408

Frequently Asked Questions on LCM of 4404 and 4408

1. What is the LCM of 4404 and 4408?

Answer: LCM of 4404 and 4408 is 4853208.

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 4408?

Answer: Factors of 4408 are 1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408. There are 16 integers that are factors of 4408. The greatest factor of 4408 is 4408.

4. How to Find the LCM of 4404 and 4408?

Answer:

Least Common Multiple of 4404 and 4408 = 4853208

Step 1: Find the prime factorization of 4404

4404 = 2 x 2 x 3 x 367

Step 2: Find the prime factorization of 4408

4408 = 2 x 2 x 2 x 19 x 29

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

LCM = 4853208 = 2 x 2 x 2 x 3 x 19 x 29 x 367

Step 4: Therefore, the least common multiple of 4404 and 4408 is 4853208.