Least Common Multiple of 4391 and 4398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4391 and 4398 the smallest integer that is 19311618 that is divisible by both numbers.

Least Common Multiple (LCM) of 4391 and 4398 is 19311618.

LCM(4391,4398) = 19311618

LCM of 4391 and 4398

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

LCM of:
and

Least Common Multiple of 4391 and 4398

LCM of 4391 and 4398 is 19311618

Least common multiple can be found by multiplying the highest exponent prime factors of 4391 and 4398. First we will calculate the prime factors of 4391 and 4398.

Prime Factorization of 4391


4391 4391
1

Prime factors of 4391 are 4391. Prime factorization of 4391 in exponential form is:

4391 = 43911

Prime Factorization of 4398


2 4398
3 2199
733 733
1

Prime factors of 4398 are 2, 3,733. Prime factorization of 4398 in exponential form is:

4398 = 21×31×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 4391 and 4398.

LCM(4391,4398) = 21×31×7331×43911
LCM(4391,4398) = 19311618

Factors of 4391

List of positive integer factors of 4391 that divides 4391 without a remainder.

1, 4391

Factors of 4398

List of positive integer factors of 4398 that divides 4398 without a remainder.

1, 2, 3, 6, 733, 1466, 2199, 4398

Least Common Multiple of 4391 and 4398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4391 and 4398, than apply into the LCM equation.

GCF(4391,4398) = 1
LCM(4391,4398) = ( 4391 × 4398) / 1
LCM(4391,4398) = 19311618 / 1
LCM(4391,4398) = 19311618

Properties of LCM 4391 and 4398

(i) The LCM of 4398 and 4391 is associative

LCM of 4391 and 4398 = LCM of 4398 and 4391

Related Least Common Multiples of 4391

Related Least Common Multiples of 4398

Frequently Asked Questions on LCM of 4391 and 4398

1. What is the LCM of 4391 and 4398?

Answer: LCM of 4391 and 4398 is 19311618.

2. What are the Factors of 4391?

Answer: Factors of 4391 are 1, 4391. There are 2 integers that are factors of 4391. The greatest factor of 4391 is 4391.

3. What are the Factors of 4398?

Answer: Factors of 4398 are 1, 2, 3, 6, 733, 1466, 2199, 4398. There are 8 integers that are factors of 4398. The greatest factor of 4398 is 4398.

4. How to Find the LCM of 4391 and 4398?

Answer:

Least Common Multiple of 4391 and 4398 = 19311618

Step 1: Find the prime factorization of 4391

4391 = 4391

Step 2: Find the prime factorization of 4398

4398 = 2 x 3 x 733

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

LCM = 19311618 = 2 x 3 x 733 x 4391

Step 4: Therefore, the least common multiple of 4391 and 4398 is 19311618.