Least Common Multiple of 6391 and 6398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6391 and 6398 the smallest integer that is 5841374 that is divisible by both numbers.

Least Common Multiple (LCM) of 6391 and 6398 is 5841374.

LCM(6391,6398) = 5841374

LCM of 6391 and 6398

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

LCM of:
and

Least Common Multiple of 6391 and 6398

LCM of 6391 and 6398 is 5841374

Least common multiple can be found by multiplying the highest exponent prime factors of 6391 and 6398. First we will calculate the prime factors of 6391 and 6398.

Prime Factorization of 6391


7 6391
11 913
83 83
1

Prime factors of 6391 are 7, 11,83. Prime factorization of 6391 in exponential form is:

6391 = 71×111×831

Prime Factorization of 6398


2 6398
7 3199
457 457
1

Prime factors of 6398 are 2, 7,457. Prime factorization of 6398 in exponential form is:

6398 = 21×71×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 6391 and 6398.

LCM(6391,6398) = 21×71×111×831×4571
LCM(6391,6398) = 5841374

Factors of 6391

List of positive integer factors of 6391 that divides 6391 without a remainder.

1, 7, 11, 77, 83, 581, 913, 6391

Factors of 6398

List of positive integer factors of 6398 that divides 6398 without a remainder.

1, 2, 7, 14, 457, 914, 3199, 6398

Least Common Multiple of 6391 and 6398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6391 and 6398, than apply into the LCM equation.

GCF(6391,6398) = 7
LCM(6391,6398) = ( 6391 × 6398) / 7
LCM(6391,6398) = 40889618 / 7
LCM(6391,6398) = 5841374

Properties of LCM 6391 and 6398

(i) The LCM of 6398 and 6391 is associative

LCM of 6391 and 6398 = LCM of 6398 and 6391

Related Least Common Multiples of 6391

Related Least Common Multiples of 6398

Frequently Asked Questions on LCM of 6391 and 6398

1. What is the LCM of 6391 and 6398?

Answer: LCM of 6391 and 6398 is 5841374.

2. What are the Factors of 6391?

Answer: Factors of 6391 are 1, 7, 11, 77, 83, 581, 913, 6391. There are 8 integers that are factors of 6391. The greatest factor of 6391 is 6391.

3. What are the Factors of 6398?

Answer: Factors of 6398 are 1, 2, 7, 14, 457, 914, 3199, 6398. There are 8 integers that are factors of 6398. The greatest factor of 6398 is 6398.

4. How to Find the LCM of 6391 and 6398?

Answer:

Least Common Multiple of 6391 and 6398 = 5841374

Step 1: Find the prime factorization of 6391

6391 = 7 x 11 x 83

Step 2: Find the prime factorization of 6398

6398 = 2 x 7 x 457

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

LCM = 5841374 = 2 x 7 x 11 x 83 x 457

Step 4: Therefore, the least common multiple of 6391 and 6398 is 5841374.