Least Common Multiple of 8384 and 8391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8384 and 8391 the smallest integer that is 70350144 that is divisible by both numbers.

Least Common Multiple (LCM) of 8384 and 8391 is 70350144.

LCM(8384,8391) = 70350144

LCM of 8384 and 8391

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

LCM of:
and

Least Common Multiple of 8384 and 8391

LCM of 8384 and 8391 is 70350144

Least common multiple can be found by multiplying the highest exponent prime factors of 8384 and 8391. First we will calculate the prime factors of 8384 and 8391.

Prime Factorization of 8384


2 8384
2 4192
2 2096
2 1048
2 524
2 262
131 131
1

Prime factors of 8384 are 2,131. Prime factorization of 8384 in exponential form is:

8384 = 26×1311

Prime Factorization of 8391


3 8391
2797 2797
1

Prime factors of 8391 are 3,2797. Prime factorization of 8391 in exponential form is:

8391 = 31×27971

Now multiplying the highest exponent prime factors to calculate the LCM of 8384 and 8391.

LCM(8384,8391) = 26×31×1311×27971
LCM(8384,8391) = 70350144

Factors of 8384

List of positive integer factors of 8384 that divides 8384 without a remainder.

1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384

Factors of 8391

List of positive integer factors of 8391 that divides 8391 without a remainder.

1, 3, 2797, 8391

Least Common Multiple of 8384 and 8391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8384 and 8391, than apply into the LCM equation.

GCF(8384,8391) = 1
LCM(8384,8391) = ( 8384 × 8391) / 1
LCM(8384,8391) = 70350144 / 1
LCM(8384,8391) = 70350144

Properties of LCM 8384 and 8391

(i) The LCM of 8391 and 8384 is associative

LCM of 8384 and 8391 = LCM of 8391 and 8384

Related Least Common Multiples of 8384

Related Least Common Multiples of 8391

Frequently Asked Questions on LCM of 8384 and 8391

1. What is the LCM of 8384 and 8391?

Answer: LCM of 8384 and 8391 is 70350144.

2. What are the Factors of 8384?

Answer: Factors of 8384 are 1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384. There are 14 integers that are factors of 8384. The greatest factor of 8384 is 8384.

3. What are the Factors of 8391?

Answer: Factors of 8391 are 1, 3, 2797, 8391. There are 4 integers that are factors of 8391. The greatest factor of 8391 is 8391.

4. How to Find the LCM of 8384 and 8391?

Answer:

Least Common Multiple of 8384 and 8391 = 70350144

Step 1: Find the prime factorization of 8384

8384 = 2 x 2 x 2 x 2 x 2 x 2 x 131

Step 2: Find the prime factorization of 8391

8391 = 3 x 2797

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

LCM = 70350144 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 131 x 2797

Step 4: Therefore, the least common multiple of 8384 and 8391 is 70350144.