Least Common Multiple of 4390 and 4394

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 4394 the smallest integer that is 9644830 that is divisible by both numbers.

Least Common Multiple (LCM) of 4390 and 4394 is 9644830.

LCM(4390,4394) = 9644830

LCM of 4390 and 4394

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

LCM of:
and

Least Common Multiple of 4390 and 4394

LCM of 4390 and 4394 is 9644830

Least common multiple can be found by multiplying the highest exponent prime factors of 4390 and 4394. First we will calculate the prime factors of 4390 and 4394.

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 4394


2 4394
13 2197
13 169
13 13
1

Prime factors of 4394 are 2,13. Prime factorization of 4394 in exponential form is:

4394 = 21×133

Now multiplying the highest exponent prime factors to calculate the LCM of 4390 and 4394.

LCM(4390,4394) = 21×51×133×4391
LCM(4390,4394) = 9644830

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 4394

List of positive integer factors of 4394 that divides 4394 without a remainder.

1, 2, 13, 26, 169, 338, 2197, 4394

Least Common Multiple of 4390 and 4394 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 4394, than apply into the LCM equation.

GCF(4390,4394) = 2
LCM(4390,4394) = ( 4390 × 4394) / 2
LCM(4390,4394) = 19289660 / 2
LCM(4390,4394) = 9644830

Properties of LCM 4390 and 4394

(i) The LCM of 4394 and 4390 is associative

LCM of 4390 and 4394 = LCM of 4394 and 4390

Related Least Common Multiples of 4390

Related Least Common Multiples of 4394

Frequently Asked Questions on LCM of 4390 and 4394

1. What is the LCM of 4390 and 4394?

Answer: LCM of 4390 and 4394 is 9644830.

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 4394?

Answer: Factors of 4394 are 1, 2, 13, 26, 169, 338, 2197, 4394. There are 8 integers that are factors of 4394. The greatest factor of 4394 is 4394.

4. How to Find the LCM of 4390 and 4394?

Answer:

Least Common Multiple of 4390 and 4394 = 9644830

Step 1: Find the prime factorization of 4390

4390 = 2 x 5 x 439

Step 2: Find the prime factorization of 4394

4394 = 2 x 13 x 13 x 13

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

LCM = 9644830 = 2 x 5 x 13 x 13 x 13 x 439

Step 4: Therefore, the least common multiple of 4390 and 4394 is 9644830.