Least Common Multiple of 4403 and 4407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4403 and 4407 the smallest integer that is 19404021 that is divisible by both numbers.

Least Common Multiple (LCM) of 4403 and 4407 is 19404021.

LCM(4403,4407) = 19404021

LCM of 4403 and 4407

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

LCM of:
and

Least Common Multiple of 4403 and 4407

LCM of 4403 and 4407 is 19404021

Least common multiple can be found by multiplying the highest exponent prime factors of 4403 and 4407. First we will calculate the prime factors of 4403 and 4407.

Prime Factorization of 4403


7 4403
17 629
37 37
1

Prime factors of 4403 are 7, 17,37. Prime factorization of 4403 in exponential form is:

4403 = 71×171×371

Prime Factorization of 4407


3 4407
13 1469
113 113
1

Prime factors of 4407 are 3, 13,113. Prime factorization of 4407 in exponential form is:

4407 = 31×131×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4403 and 4407.

LCM(4403,4407) = 31×71×131×171×371×1131
LCM(4403,4407) = 19404021

Factors of 4403

List of positive integer factors of 4403 that divides 4403 without a remainder.

1, 7, 17, 37, 119, 259, 629, 4403

Factors of 4407

List of positive integer factors of 4407 that divides 4407 without a remainder.

1, 3, 13, 39, 113, 339, 1469, 4407

Least Common Multiple of 4403 and 4407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4403 and 4407, than apply into the LCM equation.

GCF(4403,4407) = 1
LCM(4403,4407) = ( 4403 × 4407) / 1
LCM(4403,4407) = 19404021 / 1
LCM(4403,4407) = 19404021

Properties of LCM 4403 and 4407

(i) The LCM of 4407 and 4403 is associative

LCM of 4403 and 4407 = LCM of 4407 and 4403

Related Least Common Multiples of 4403

Related Least Common Multiples of 4407

Frequently Asked Questions on LCM of 4403 and 4407

1. What is the LCM of 4403 and 4407?

Answer: LCM of 4403 and 4407 is 19404021.

2. What are the Factors of 4403?

Answer: Factors of 4403 are 1, 7, 17, 37, 119, 259, 629, 4403. There are 8 integers that are factors of 4403. The greatest factor of 4403 is 4403.

3. What are the Factors of 4407?

Answer: Factors of 4407 are 1, 3, 13, 39, 113, 339, 1469, 4407. There are 8 integers that are factors of 4407. The greatest factor of 4407 is 4407.

4. How to Find the LCM of 4403 and 4407?

Answer:

Least Common Multiple of 4403 and 4407 = 19404021

Step 1: Find the prime factorization of 4403

4403 = 7 x 17 x 37

Step 2: Find the prime factorization of 4407

4407 = 3 x 13 x 113

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

LCM = 19404021 = 3 x 7 x 13 x 17 x 37 x 113

Step 4: Therefore, the least common multiple of 4403 and 4407 is 19404021.