Least Common Multiple of 2384 and 2391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2384 and 2391 the smallest integer that is 5700144 that is divisible by both numbers.

Least Common Multiple (LCM) of 2384 and 2391 is 5700144.

LCM(2384,2391) = 5700144

LCM of 2384 and 2391

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

LCM of:
and

Least Common Multiple of 2384 and 2391

LCM of 2384 and 2391 is 5700144

Least common multiple can be found by multiplying the highest exponent prime factors of 2384 and 2391. First we will calculate the prime factors of 2384 and 2391.

Prime Factorization of 2384


2 2384
2 1192
2 596
2 298
149 149
1

Prime factors of 2384 are 2,149. Prime factorization of 2384 in exponential form is:

2384 = 24×1491

Prime Factorization of 2391


3 2391
797 797
1

Prime factors of 2391 are 3,797. Prime factorization of 2391 in exponential form is:

2391 = 31×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 2384 and 2391.

LCM(2384,2391) = 24×31×1491×7971
LCM(2384,2391) = 5700144

Factors of 2384

List of positive integer factors of 2384 that divides 2384 without a remainder.

1, 2, 4, 8, 16, 149, 298, 596, 1192, 2384

Factors of 2391

List of positive integer factors of 2391 that divides 2391 without a remainder.

1, 3, 797, 2391

Least Common Multiple of 2384 and 2391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2384 and 2391, than apply into the LCM equation.

GCF(2384,2391) = 1
LCM(2384,2391) = ( 2384 × 2391) / 1
LCM(2384,2391) = 5700144 / 1
LCM(2384,2391) = 5700144

Properties of LCM 2384 and 2391

(i) The LCM of 2391 and 2384 is associative

LCM of 2384 and 2391 = LCM of 2391 and 2384

Related Least Common Multiples of 2384

Related Least Common Multiples of 2391

Frequently Asked Questions on LCM of 2384 and 2391

1. What is the LCM of 2384 and 2391?

Answer: LCM of 2384 and 2391 is 5700144.

2. What are the Factors of 2384?

Answer: Factors of 2384 are 1, 2, 4, 8, 16, 149, 298, 596, 1192, 2384. There are 10 integers that are factors of 2384. The greatest factor of 2384 is 2384.

3. What are the Factors of 2391?

Answer: Factors of 2391 are 1, 3, 797, 2391. There are 4 integers that are factors of 2391. The greatest factor of 2391 is 2391.

4. How to Find the LCM of 2384 and 2391?

Answer:

Least Common Multiple of 2384 and 2391 = 5700144

Step 1: Find the prime factorization of 2384

2384 = 2 x 2 x 2 x 2 x 149

Step 2: Find the prime factorization of 2391

2391 = 3 x 797

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

LCM = 5700144 = 2 x 2 x 2 x 2 x 3 x 149 x 797

Step 4: Therefore, the least common multiple of 2384 and 2391 is 5700144.