Least Common Multiple of 4386 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 4386 and 4390 the smallest integer that is 9627270 that is divisible by both numbers.

Least Common Multiple (LCM) of 4386 and 4390 is 9627270.

LCM(4386,4390) = 9627270

LCM of 4386 and 4390

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

LCM of:
and

Least Common Multiple of 4386 and 4390

LCM of 4386 and 4390 is 9627270

Least common multiple can be found by multiplying the highest exponent prime factors of 4386 and 4390. First we will calculate the prime factors of 4386 and 4390.

Prime Factorization of 4386


2 4386
3 2193
17 731
43 43
1

Prime factors of 4386 are 2, 3, 17,43. Prime factorization of 4386 in exponential form is:

4386 = 21×31×171×431

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 4386 and 4390.

LCM(4386,4390) = 21×31×51×171×431×4391
LCM(4386,4390) = 9627270

Factors of 4386

List of positive integer factors of 4386 that divides 4386 without a remainder.

1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386

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 4386 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 4386 and 4390, than apply into the LCM equation.

GCF(4386,4390) = 2
LCM(4386,4390) = ( 4386 × 4390) / 2
LCM(4386,4390) = 19254540 / 2
LCM(4386,4390) = 9627270

Properties of LCM 4386 and 4390

(i) The LCM of 4390 and 4386 is associative

LCM of 4386 and 4390 = LCM of 4390 and 4386

Related Least Common Multiples of 4386

Related Least Common Multiples of 4390

Frequently Asked Questions on LCM of 4386 and 4390

1. What is the LCM of 4386 and 4390?

Answer: LCM of 4386 and 4390 is 9627270.

2. What are the Factors of 4386?

Answer: Factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386. There are 16 integers that are factors of 4386. The greatest factor of 4386 is 4386.

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 4386 and 4390?

Answer:

Least Common Multiple of 4386 and 4390 = 9627270

Step 1: Find the prime factorization of 4386

4386 = 2 x 3 x 17 x 43

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 = 9627270 = 2 x 3 x 5 x 17 x 43 x 439

Step 4: Therefore, the least common multiple of 4386 and 4390 is 9627270.