Least Common Multiple of 4397 and 4403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4397 and 4403 the smallest integer that is 19359991 that is divisible by both numbers.

Least Common Multiple (LCM) of 4397 and 4403 is 19359991.

LCM(4397,4403) = 19359991

LCM of 4397 and 4403

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

LCM of:
and

Least Common Multiple of 4397 and 4403

LCM of 4397 and 4403 is 19359991

Least common multiple can be found by multiplying the highest exponent prime factors of 4397 and 4403. First we will calculate the prime factors of 4397 and 4403.

Prime Factorization of 4397


4397 4397
1

Prime factors of 4397 are 4397. Prime factorization of 4397 in exponential form is:

4397 = 43971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4397 and 4403.

LCM(4397,4403) = 71×171×371×43971
LCM(4397,4403) = 19359991

Factors of 4397

List of positive integer factors of 4397 that divides 4397 without a remainder.

1, 4397

Factors of 4403

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

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

Least Common Multiple of 4397 and 4403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4397 and 4403, than apply into the LCM equation.

GCF(4397,4403) = 1
LCM(4397,4403) = ( 4397 × 4403) / 1
LCM(4397,4403) = 19359991 / 1
LCM(4397,4403) = 19359991

Properties of LCM 4397 and 4403

(i) The LCM of 4403 and 4397 is associative

LCM of 4397 and 4403 = LCM of 4403 and 4397

Related Least Common Multiples of 4397

Related Least Common Multiples of 4403

Frequently Asked Questions on LCM of 4397 and 4403

1. What is the LCM of 4397 and 4403?

Answer: LCM of 4397 and 4403 is 19359991.

2. What are the Factors of 4397?

Answer: Factors of 4397 are 1, 4397. There are 2 integers that are factors of 4397. The greatest factor of 4397 is 4397.

3. 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.

4. How to Find the LCM of 4397 and 4403?

Answer:

Least Common Multiple of 4397 and 4403 = 19359991

Step 1: Find the prime factorization of 4397

4397 = 4397

Step 2: Find the prime factorization of 4403

4403 = 7 x 17 x 37

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

LCM = 19359991 = 7 x 17 x 37 x 4397

Step 4: Therefore, the least common multiple of 4397 and 4403 is 19359991.