Least Common Multiple of 4406 and 4412

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 4412 the smallest integer that is 9719636 that is divisible by both numbers.

Least Common Multiple (LCM) of 4406 and 4412 is 9719636.

LCM(4406,4412) = 9719636

LCM of 4406 and 4412

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

LCM of:
and

Least Common Multiple of 4406 and 4412

LCM of 4406 and 4412 is 9719636

Least common multiple can be found by multiplying the highest exponent prime factors of 4406 and 4412. First we will calculate the prime factors of 4406 and 4412.

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 4412


2 4412
2 2206
1103 1103
1

Prime factors of 4412 are 2,1103. Prime factorization of 4412 in exponential form is:

4412 = 22×11031

Now multiplying the highest exponent prime factors to calculate the LCM of 4406 and 4412.

LCM(4406,4412) = 22×11031×22031
LCM(4406,4412) = 9719636

Factors of 4406

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

1, 2, 2203, 4406

Factors of 4412

List of positive integer factors of 4412 that divides 4412 without a remainder.

1, 2, 4, 1103, 2206, 4412

Least Common Multiple of 4406 and 4412 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 4412, than apply into the LCM equation.

GCF(4406,4412) = 2
LCM(4406,4412) = ( 4406 × 4412) / 2
LCM(4406,4412) = 19439272 / 2
LCM(4406,4412) = 9719636

Properties of LCM 4406 and 4412

(i) The LCM of 4412 and 4406 is associative

LCM of 4406 and 4412 = LCM of 4412 and 4406

Related Least Common Multiples of 4406

Related Least Common Multiples of 4412

Frequently Asked Questions on LCM of 4406 and 4412

1. What is the LCM of 4406 and 4412?

Answer: LCM of 4406 and 4412 is 9719636.

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 4412?

Answer: Factors of 4412 are 1, 2, 4, 1103, 2206, 4412. There are 6 integers that are factors of 4412. The greatest factor of 4412 is 4412.

4. How to Find the LCM of 4406 and 4412?

Answer:

Least Common Multiple of 4406 and 4412 = 9719636

Step 1: Find the prime factorization of 4406

4406 = 2 x 2203

Step 2: Find the prime factorization of 4412

4412 = 2 x 2 x 1103

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

LCM = 9719636 = 2 x 2 x 1103 x 2203

Step 4: Therefore, the least common multiple of 4406 and 4412 is 9719636.