Least Common Multiple of 4397 and 4401

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 4401 the smallest integer that is 19351197 that is divisible by both numbers.

Least Common Multiple (LCM) of 4397 and 4401 is 19351197.

LCM(4397,4401) = 19351197

LCM of 4397 and 4401

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

LCM of:
and

Least Common Multiple of 4397 and 4401

LCM of 4397 and 4401 is 19351197

Least common multiple can be found by multiplying the highest exponent prime factors of 4397 and 4401. First we will calculate the prime factors of 4397 and 4401.

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 4401


3 4401
3 1467
3 489
163 163
1

Prime factors of 4401 are 3,163. Prime factorization of 4401 in exponential form is:

4401 = 33×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 4397 and 4401.

LCM(4397,4401) = 33×1631×43971
LCM(4397,4401) = 19351197

Factors of 4397

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

1, 4397

Factors of 4401

List of positive integer factors of 4401 that divides 4401 without a remainder.

1, 3, 9, 27, 163, 489, 1467, 4401

Least Common Multiple of 4397 and 4401 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 4401, than apply into the LCM equation.

GCF(4397,4401) = 1
LCM(4397,4401) = ( 4397 × 4401) / 1
LCM(4397,4401) = 19351197 / 1
LCM(4397,4401) = 19351197

Properties of LCM 4397 and 4401

(i) The LCM of 4401 and 4397 is associative

LCM of 4397 and 4401 = LCM of 4401 and 4397

Related Least Common Multiples of 4397

Related Least Common Multiples of 4401

Frequently Asked Questions on LCM of 4397 and 4401

1. What is the LCM of 4397 and 4401?

Answer: LCM of 4397 and 4401 is 19351197.

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 4401?

Answer: Factors of 4401 are 1, 3, 9, 27, 163, 489, 1467, 4401. There are 8 integers that are factors of 4401. The greatest factor of 4401 is 4401.

4. How to Find the LCM of 4397 and 4401?

Answer:

Least Common Multiple of 4397 and 4401 = 19351197

Step 1: Find the prime factorization of 4397

4397 = 4397

Step 2: Find the prime factorization of 4401

4401 = 3 x 3 x 3 x 163

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

LCM = 19351197 = 3 x 3 x 3 x 163 x 4397

Step 4: Therefore, the least common multiple of 4397 and 4401 is 19351197.