Least Common Multiple of 4383 and 4391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4383 and 4391 the smallest integer that is 19245753 that is divisible by both numbers.

Least Common Multiple (LCM) of 4383 and 4391 is 19245753.

LCM(4383,4391) = 19245753

LCM of 4383 and 4391

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

LCM of:
and

Least Common Multiple of 4383 and 4391

LCM of 4383 and 4391 is 19245753

Least common multiple can be found by multiplying the highest exponent prime factors of 4383 and 4391. First we will calculate the prime factors of 4383 and 4391.

Prime Factorization of 4383


3 4383
3 1461
487 487
1

Prime factors of 4383 are 3,487. Prime factorization of 4383 in exponential form is:

4383 = 32×4871

Prime Factorization of 4391


4391 4391
1

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

4391 = 43911

Now multiplying the highest exponent prime factors to calculate the LCM of 4383 and 4391.

LCM(4383,4391) = 32×4871×43911
LCM(4383,4391) = 19245753

Factors of 4383

List of positive integer factors of 4383 that divides 4383 without a remainder.

1, 3, 9, 487, 1461, 4383

Factors of 4391

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

1, 4391

Least Common Multiple of 4383 and 4391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4383 and 4391, than apply into the LCM equation.

GCF(4383,4391) = 1
LCM(4383,4391) = ( 4383 × 4391) / 1
LCM(4383,4391) = 19245753 / 1
LCM(4383,4391) = 19245753

Properties of LCM 4383 and 4391

(i) The LCM of 4391 and 4383 is associative

LCM of 4383 and 4391 = LCM of 4391 and 4383

Related Least Common Multiples of 4383

Related Least Common Multiples of 4391

Frequently Asked Questions on LCM of 4383 and 4391

1. What is the LCM of 4383 and 4391?

Answer: LCM of 4383 and 4391 is 19245753.

2. What are the Factors of 4383?

Answer: Factors of 4383 are 1, 3, 9, 487, 1461, 4383. There are 6 integers that are factors of 4383. The greatest factor of 4383 is 4383.

3. 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.

4. How to Find the LCM of 4383 and 4391?

Answer:

Least Common Multiple of 4383 and 4391 = 19245753

Step 1: Find the prime factorization of 4383

4383 = 3 x 3 x 487

Step 2: Find the prime factorization of 4391

4391 = 4391

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

LCM = 19245753 = 3 x 3 x 487 x 4391

Step 4: Therefore, the least common multiple of 4383 and 4391 is 19245753.