Least Common Multiple of 4406 and 4413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4406 and 4413 the smallest integer that is 19443678 that is divisible by both numbers.

Least Common Multiple (LCM) of 4406 and 4413 is 19443678.

LCM(4406,4413) = 19443678

LCM of 4406 and 4413

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

LCM of:
and

Least Common Multiple of 4406 and 4413

LCM of 4406 and 4413 is 19443678

Least common multiple can be found by multiplying the highest exponent prime factors of 4406 and 4413. First we will calculate the prime factors of 4406 and 4413.

Prime Factorization of 4406


2 4406
2203 2203
1

Prime factors of 4406 are 2,2203. Prime factorization of 4406 in exponential form is:

4406 = 21×22031

Prime Factorization of 4413


3 4413
1471 1471
1

Prime factors of 4413 are 3,1471. Prime factorization of 4413 in exponential form is:

4413 = 31×14711

Now multiplying the highest exponent prime factors to calculate the LCM of 4406 and 4413.

LCM(4406,4413) = 21×31×14711×22031
LCM(4406,4413) = 19443678

Factors of 4406

List of positive integer factors of 4406 that divides 4406 without a remainder.

1, 2, 2203, 4406

Factors of 4413

List of positive integer factors of 4413 that divides 4413 without a remainder.

1, 3, 1471, 4413

Least Common Multiple of 4406 and 4413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4406 and 4413, than apply into the LCM equation.

GCF(4406,4413) = 1
LCM(4406,4413) = ( 4406 × 4413) / 1
LCM(4406,4413) = 19443678 / 1
LCM(4406,4413) = 19443678

Properties of LCM 4406 and 4413

(i) The LCM of 4413 and 4406 is associative

LCM of 4406 and 4413 = LCM of 4413 and 4406

Related Least Common Multiples of 4406

Related Least Common Multiples of 4413

Frequently Asked Questions on LCM of 4406 and 4413

1. What is the LCM of 4406 and 4413?

Answer: LCM of 4406 and 4413 is 19443678.

2. What are the Factors of 4406?

Answer: Factors of 4406 are 1, 2, 2203, 4406. There are 4 integers that are factors of 4406. The greatest factor of 4406 is 4406.

3. What are the Factors of 4413?

Answer: Factors of 4413 are 1, 3, 1471, 4413. There are 4 integers that are factors of 4413. The greatest factor of 4413 is 4413.

4. How to Find the LCM of 4406 and 4413?

Answer:

Least Common Multiple of 4406 and 4413 = 19443678

Step 1: Find the prime factorization of 4406

4406 = 2 x 2203

Step 2: Find the prime factorization of 4413

4413 = 3 x 1471

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

LCM = 19443678 = 2 x 3 x 1471 x 2203

Step 4: Therefore, the least common multiple of 4406 and 4413 is 19443678.