Least Common Multiple of 4384 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 4384 and 4390 the smallest integer that is 9622880 that is divisible by both numbers.

Least Common Multiple (LCM) of 4384 and 4390 is 9622880.

LCM(4384,4390) = 9622880

LCM of 4384 and 4390

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

LCM of:
and

Least Common Multiple of 4384 and 4390

LCM of 4384 and 4390 is 9622880

Least common multiple can be found by multiplying the highest exponent prime factors of 4384 and 4390. First we will calculate the prime factors of 4384 and 4390.

Prime Factorization of 4384


2 4384
2 2192
2 1096
2 548
2 274
137 137
1

Prime factors of 4384 are 2,137. Prime factorization of 4384 in exponential form is:

4384 = 25×1371

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 4384 and 4390.

LCM(4384,4390) = 25×51×1371×4391
LCM(4384,4390) = 9622880

Factors of 4384

List of positive integer factors of 4384 that divides 4384 without a remainder.

1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384

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 4384 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 4384 and 4390, than apply into the LCM equation.

GCF(4384,4390) = 2
LCM(4384,4390) = ( 4384 × 4390) / 2
LCM(4384,4390) = 19245760 / 2
LCM(4384,4390) = 9622880

Properties of LCM 4384 and 4390

(i) The LCM of 4390 and 4384 is associative

LCM of 4384 and 4390 = LCM of 4390 and 4384

Related Least Common Multiples of 4384

Related Least Common Multiples of 4390

Frequently Asked Questions on LCM of 4384 and 4390

1. What is the LCM of 4384 and 4390?

Answer: LCM of 4384 and 4390 is 9622880.

2. What are the Factors of 4384?

Answer: Factors of 4384 are 1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384. There are 12 integers that are factors of 4384. The greatest factor of 4384 is 4384.

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 4384 and 4390?

Answer:

Least Common Multiple of 4384 and 4390 = 9622880

Step 1: Find the prime factorization of 4384

4384 = 2 x 2 x 2 x 2 x 2 x 137

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 = 9622880 = 2 x 2 x 2 x 2 x 2 x 5 x 137 x 439

Step 4: Therefore, the least common multiple of 4384 and 4390 is 9622880.