Least Common Multiple of 4390 and 4395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4390 and 4395 the smallest integer that is 3858810 that is divisible by both numbers.

Least Common Multiple (LCM) of 4390 and 4395 is 3858810.

LCM(4390,4395) = 3858810

LCM of 4390 and 4395

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

LCM of:
and

Least Common Multiple of 4390 and 4395

LCM of 4390 and 4395 is 3858810

Least common multiple can be found by multiplying the highest exponent prime factors of 4390 and 4395. First we will calculate the prime factors of 4390 and 4395.

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

Prime Factorization of 4395


3 4395
5 1465
293 293
1

Prime factors of 4395 are 3, 5,293. Prime factorization of 4395 in exponential form is:

4395 = 31×51×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 4390 and 4395.

LCM(4390,4395) = 21×31×51×2931×4391
LCM(4390,4395) = 3858810

Factors of 4390

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

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

Factors of 4395

List of positive integer factors of 4395 that divides 4395 without a remainder.

1, 3, 5, 15, 293, 879, 1465, 4395

Least Common Multiple of 4390 and 4395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4390 and 4395, than apply into the LCM equation.

GCF(4390,4395) = 5
LCM(4390,4395) = ( 4390 × 4395) / 5
LCM(4390,4395) = 19294050 / 5
LCM(4390,4395) = 3858810

Properties of LCM 4390 and 4395

(i) The LCM of 4395 and 4390 is associative

LCM of 4390 and 4395 = LCM of 4395 and 4390

Related Least Common Multiples of 4390

Related Least Common Multiples of 4395

Frequently Asked Questions on LCM of 4390 and 4395

1. What is the LCM of 4390 and 4395?

Answer: LCM of 4390 and 4395 is 3858810.

2. 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.

3. What are the Factors of 4395?

Answer: Factors of 4395 are 1, 3, 5, 15, 293, 879, 1465, 4395. There are 8 integers that are factors of 4395. The greatest factor of 4395 is 4395.

4. How to Find the LCM of 4390 and 4395?

Answer:

Least Common Multiple of 4390 and 4395 = 3858810

Step 1: Find the prime factorization of 4390

4390 = 2 x 5 x 439

Step 2: Find the prime factorization of 4395

4395 = 3 x 5 x 293

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

LCM = 3858810 = 2 x 3 x 5 x 293 x 439

Step 4: Therefore, the least common multiple of 4390 and 4395 is 3858810.