Least Common Multiple of 4393 and 4397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 4393 and 4397 the smallest integer that is 19316021 that is divisible by both numbers.

Least Common Multiple (LCM) of 4393 and 4397 is 19316021.

LCM(4393,4397) = 19316021

LCM of 4393 and 4397

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

LCM of:
and

Least Common Multiple of 4393 and 4397

LCM of 4393 and 4397 is 19316021

Least common multiple can be found by multiplying the highest exponent prime factors of 4393 and 4397. First we will calculate the prime factors of 4393 and 4397.

Prime Factorization of 4393


23 4393
191 191
1

Prime factors of 4393 are 23,191. Prime factorization of 4393 in exponential form is:

4393 = 231×1911

Prime Factorization of 4397


4397 4397
1

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

4397 = 43971

Now multiplying the highest exponent prime factors to calculate the LCM of 4393 and 4397.

LCM(4393,4397) = 231×1911×43971
LCM(4393,4397) = 19316021

Factors of 4393

List of positive integer factors of 4393 that divides 4393 without a remainder.

1, 23, 191, 4393

Factors of 4397

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

1, 4397

Least Common Multiple of 4393 and 4397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4393 and 4397, than apply into the LCM equation.

GCF(4393,4397) = 1
LCM(4393,4397) = ( 4393 × 4397) / 1
LCM(4393,4397) = 19316021 / 1
LCM(4393,4397) = 19316021

Properties of LCM 4393 and 4397

(i) The LCM of 4397 and 4393 is associative

LCM of 4393 and 4397 = LCM of 4397 and 4393

Frequently Asked Questions on LCM of 4393 and 4397

1. What is the LCM of 4393 and 4397?

Answer: LCM of 4393 and 4397 is 19316021.

2. What are the Factors of 4393?

Answer: Factors of 4393 are 1, 23, 191, 4393. There are 4 integers that are factors of 4393. The greatest factor of 4393 is 4393.

3. 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.

4. How to Find the LCM of 4393 and 4397?

Answer:

Least Common Multiple of 4393 and 4397 = 19316021

Step 1: Find the prime factorization of 4393

4393 = 23 x 191

Step 2: Find the prime factorization of 4397

4397 = 4397

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

LCM = 19316021 = 23 x 191 x 4397

Step 4: Therefore, the least common multiple of 4393 and 4397 is 19316021.