Least Common Multiple of 4402 and 4406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4402 and 4406 the smallest integer that is 9697606 that is divisible by both numbers.

Least Common Multiple (LCM) of 4402 and 4406 is 9697606.

LCM(4402,4406) = 9697606

LCM of 4402 and 4406

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

LCM of:
and

Least Common Multiple of 4402 and 4406

LCM of 4402 and 4406 is 9697606

Least common multiple can be found by multiplying the highest exponent prime factors of 4402 and 4406. First we will calculate the prime factors of 4402 and 4406.

Prime Factorization of 4402


2 4402
31 2201
71 71
1

Prime factors of 4402 are 2, 31,71. Prime factorization of 4402 in exponential form is:

4402 = 21×311×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4402 and 4406.

LCM(4402,4406) = 21×311×711×22031
LCM(4402,4406) = 9697606

Factors of 4402

List of positive integer factors of 4402 that divides 4402 without a remainder.

1, 2, 31, 62, 71, 142, 2201, 4402

Factors of 4406

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

1, 2, 2203, 4406

Least Common Multiple of 4402 and 4406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4402 and 4406, than apply into the LCM equation.

GCF(4402,4406) = 2
LCM(4402,4406) = ( 4402 × 4406) / 2
LCM(4402,4406) = 19395212 / 2
LCM(4402,4406) = 9697606

Properties of LCM 4402 and 4406

(i) The LCM of 4406 and 4402 is associative

LCM of 4402 and 4406 = LCM of 4406 and 4402

Related Least Common Multiples of 4402

Related Least Common Multiples of 4406

Frequently Asked Questions on LCM of 4402 and 4406

1. What is the LCM of 4402 and 4406?

Answer: LCM of 4402 and 4406 is 9697606.

2. What are the Factors of 4402?

Answer: Factors of 4402 are 1, 2, 31, 62, 71, 142, 2201, 4402. There are 8 integers that are factors of 4402. The greatest factor of 4402 is 4402.

3. 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.

4. How to Find the LCM of 4402 and 4406?

Answer:

Least Common Multiple of 4402 and 4406 = 9697606

Step 1: Find the prime factorization of 4402

4402 = 2 x 31 x 71

Step 2: Find the prime factorization of 4406

4406 = 2 x 2203

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

LCM = 9697606 = 2 x 31 x 71 x 2203

Step 4: Therefore, the least common multiple of 4402 and 4406 is 9697606.