Least Common Multiple of 4383 and 4390

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 4390 the smallest integer that is 19241370 that is divisible by both numbers.

Least Common Multiple (LCM) of 4383 and 4390 is 19241370.

LCM(4383,4390) = 19241370

LCM of 4383 and 4390

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

LCM of:
and

Least Common Multiple of 4383 and 4390

LCM of 4383 and 4390 is 19241370

Least common multiple can be found by multiplying the highest exponent prime factors of 4383 and 4390. First we will calculate the prime factors of 4383 and 4390.

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 4390


2 4390
5 2195
439 439
1

Prime factors of 4390 are 2, 5,439. Prime factorization of 4390 in exponential form is:

4390 = 21×51×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 4383 and 4390.

LCM(4383,4390) = 21×32×51×4391×4871
LCM(4383,4390) = 19241370

Factors of 4383

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

1, 3, 9, 487, 1461, 4383

Factors of 4390

List of positive integer factors of 4390 that divides 4390 without a remainder.

1, 2, 5, 10, 439, 878, 2195, 4390

Least Common Multiple of 4383 and 4390 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 4390, than apply into the LCM equation.

GCF(4383,4390) = 1
LCM(4383,4390) = ( 4383 × 4390) / 1
LCM(4383,4390) = 19241370 / 1
LCM(4383,4390) = 19241370

Properties of LCM 4383 and 4390

(i) The LCM of 4390 and 4383 is associative

LCM of 4383 and 4390 = LCM of 4390 and 4383

Related Least Common Multiples of 4383

Related Least Common Multiples of 4390

Frequently Asked Questions on LCM of 4383 and 4390

1. What is the LCM of 4383 and 4390?

Answer: LCM of 4383 and 4390 is 19241370.

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 4390?

Answer: Factors of 4390 are 1, 2, 5, 10, 439, 878, 2195, 4390. There are 8 integers that are factors of 4390. The greatest factor of 4390 is 4390.

4. How to Find the LCM of 4383 and 4390?

Answer:

Least Common Multiple of 4383 and 4390 = 19241370

Step 1: Find the prime factorization of 4383

4383 = 3 x 3 x 487

Step 2: Find the prime factorization of 4390

4390 = 2 x 5 x 439

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

LCM = 19241370 = 2 x 3 x 3 x 5 x 439 x 487

Step 4: Therefore, the least common multiple of 4383 and 4390 is 19241370.