Least Common Multiple of 4408 and 4414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4408 and 4414 the smallest integer that is 9728456 that is divisible by both numbers.

Least Common Multiple (LCM) of 4408 and 4414 is 9728456.

LCM(4408,4414) = 9728456

LCM of 4408 and 4414

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

LCM of:
and

Least Common Multiple of 4408 and 4414

LCM of 4408 and 4414 is 9728456

Least common multiple can be found by multiplying the highest exponent prime factors of 4408 and 4414. First we will calculate the prime factors of 4408 and 4414.

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

Prime Factorization of 4414


2 4414
2207 2207
1

Prime factors of 4414 are 2,2207. Prime factorization of 4414 in exponential form is:

4414 = 21×22071

Now multiplying the highest exponent prime factors to calculate the LCM of 4408 and 4414.

LCM(4408,4414) = 23×191×291×22071
LCM(4408,4414) = 9728456

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

Factors of 4414

List of positive integer factors of 4414 that divides 4414 without a remainder.

1, 2, 2207, 4414

Least Common Multiple of 4408 and 4414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4408 and 4414, than apply into the LCM equation.

GCF(4408,4414) = 2
LCM(4408,4414) = ( 4408 × 4414) / 2
LCM(4408,4414) = 19456912 / 2
LCM(4408,4414) = 9728456

Properties of LCM 4408 and 4414

(i) The LCM of 4414 and 4408 is associative

LCM of 4408 and 4414 = LCM of 4414 and 4408

Related Least Common Multiples of 4408

Related Least Common Multiples of 4414

Frequently Asked Questions on LCM of 4408 and 4414

1. What is the LCM of 4408 and 4414?

Answer: LCM of 4408 and 4414 is 9728456.

2. 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.

3. What are the Factors of 4414?

Answer: Factors of 4414 are 1, 2, 2207, 4414. There are 4 integers that are factors of 4414. The greatest factor of 4414 is 4414.

4. How to Find the LCM of 4408 and 4414?

Answer:

Least Common Multiple of 4408 and 4414 = 9728456

Step 1: Find the prime factorization of 4408

4408 = 2 x 2 x 2 x 19 x 29

Step 2: Find the prime factorization of 4414

4414 = 2 x 2207

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

LCM = 9728456 = 2 x 2 x 2 x 19 x 29 x 2207

Step 4: Therefore, the least common multiple of 4408 and 4414 is 9728456.