Least Common Multiple of 4385 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 4385 and 4390 the smallest integer that is 3850030 that is divisible by both numbers.

Least Common Multiple (LCM) of 4385 and 4390 is 3850030.

LCM(4385,4390) = 3850030

LCM of 4385 and 4390

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

LCM of:
and

Least Common Multiple of 4385 and 4390

LCM of 4385 and 4390 is 3850030

Least common multiple can be found by multiplying the highest exponent prime factors of 4385 and 4390. First we will calculate the prime factors of 4385 and 4390.

Prime Factorization of 4385


5 4385
877 877
1

Prime factors of 4385 are 5,877. Prime factorization of 4385 in exponential form is:

4385 = 51×8771

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 4385 and 4390.

LCM(4385,4390) = 21×51×4391×8771
LCM(4385,4390) = 3850030

Factors of 4385

List of positive integer factors of 4385 that divides 4385 without a remainder.

1, 5, 877, 4385

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 4385 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 4385 and 4390, than apply into the LCM equation.

GCF(4385,4390) = 5
LCM(4385,4390) = ( 4385 × 4390) / 5
LCM(4385,4390) = 19250150 / 5
LCM(4385,4390) = 3850030

Properties of LCM 4385 and 4390

(i) The LCM of 4390 and 4385 is associative

LCM of 4385 and 4390 = LCM of 4390 and 4385

Frequently Asked Questions on LCM of 4385 and 4390

1. What is the LCM of 4385 and 4390?

Answer: LCM of 4385 and 4390 is 3850030.

2. What are the Factors of 4385?

Answer: Factors of 4385 are 1, 5, 877, 4385. There are 4 integers that are factors of 4385. The greatest factor of 4385 is 4385.

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 4385 and 4390?

Answer:

Least Common Multiple of 4385 and 4390 = 3850030

Step 1: Find the prime factorization of 4385

4385 = 5 x 877

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 = 3850030 = 2 x 5 x 439 x 877

Step 4: Therefore, the least common multiple of 4385 and 4390 is 3850030.