Least Common Multiple of 4405 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 4405 and 4408 the smallest integer that is 19417240 that is divisible by both numbers.

Least Common Multiple (LCM) of 4405 and 4408 is 19417240.

LCM(4405,4408) = 19417240

LCM of 4405 and 4408

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

LCM of:
and

Least Common Multiple of 4405 and 4408

LCM of 4405 and 4408 is 19417240

Least common multiple can be found by multiplying the highest exponent prime factors of 4405 and 4408. First we will calculate the prime factors of 4405 and 4408.

Prime Factorization of 4405


5 4405
881 881
1

Prime factors of 4405 are 5,881. Prime factorization of 4405 in exponential form is:

4405 = 51×8811

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 4405 and 4408.

LCM(4405,4408) = 23×51×191×291×8811
LCM(4405,4408) = 19417240

Factors of 4405

List of positive integer factors of 4405 that divides 4405 without a remainder.

1, 5, 881, 4405

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 4405 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 4405 and 4408, than apply into the LCM equation.

GCF(4405,4408) = 1
LCM(4405,4408) = ( 4405 × 4408) / 1
LCM(4405,4408) = 19417240 / 1
LCM(4405,4408) = 19417240

Properties of LCM 4405 and 4408

(i) The LCM of 4408 and 4405 is associative

LCM of 4405 and 4408 = LCM of 4408 and 4405

Related Least Common Multiples of 4405

Related Least Common Multiples of 4408

Frequently Asked Questions on LCM of 4405 and 4408

1. What is the LCM of 4405 and 4408?

Answer: LCM of 4405 and 4408 is 19417240.

2. What are the Factors of 4405?

Answer: Factors of 4405 are 1, 5, 881, 4405. There are 4 integers that are factors of 4405. The greatest factor of 4405 is 4405.

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 4405 and 4408?

Answer:

Least Common Multiple of 4405 and 4408 = 19417240

Step 1: Find the prime factorization of 4405

4405 = 5 x 881

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 = 19417240 = 2 x 2 x 2 x 5 x 19 x 29 x 881

Step 4: Therefore, the least common multiple of 4405 and 4408 is 19417240.