Least Common Multiple of 4397 and 4404

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 4404 the smallest integer that is 19364388 that is divisible by both numbers.

Least Common Multiple (LCM) of 4397 and 4404 is 19364388.

LCM(4397,4404) = 19364388

LCM of 4397 and 4404

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

LCM of:
and

Least Common Multiple of 4397 and 4404

LCM of 4397 and 4404 is 19364388

Least common multiple can be found by multiplying the highest exponent prime factors of 4397 and 4404. First we will calculate the prime factors of 4397 and 4404.

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 4404


2 4404
2 2202
3 1101
367 367
1

Prime factors of 4404 are 2, 3,367. Prime factorization of 4404 in exponential form is:

4404 = 22×31×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 4397 and 4404.

LCM(4397,4404) = 22×31×3671×43971
LCM(4397,4404) = 19364388

Factors of 4397

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

1, 4397

Factors of 4404

List of positive integer factors of 4404 that divides 4404 without a remainder.

1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404

Least Common Multiple of 4397 and 4404 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 4404, than apply into the LCM equation.

GCF(4397,4404) = 1
LCM(4397,4404) = ( 4397 × 4404) / 1
LCM(4397,4404) = 19364388 / 1
LCM(4397,4404) = 19364388

Properties of LCM 4397 and 4404

(i) The LCM of 4404 and 4397 is associative

LCM of 4397 and 4404 = LCM of 4404 and 4397

Related Least Common Multiples of 4397

Related Least Common Multiples of 4404

Frequently Asked Questions on LCM of 4397 and 4404

1. What is the LCM of 4397 and 4404?

Answer: LCM of 4397 and 4404 is 19364388.

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 4404?

Answer: Factors of 4404 are 1, 2, 3, 4, 6, 12, 367, 734, 1101, 1468, 2202, 4404. There are 12 integers that are factors of 4404. The greatest factor of 4404 is 4404.

4. How to Find the LCM of 4397 and 4404?

Answer:

Least Common Multiple of 4397 and 4404 = 19364388

Step 1: Find the prime factorization of 4397

4397 = 4397

Step 2: Find the prime factorization of 4404

4404 = 2 x 2 x 3 x 367

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

LCM = 19364388 = 2 x 2 x 3 x 367 x 4397

Step 4: Therefore, the least common multiple of 4397 and 4404 is 19364388.