Least Common Multiple of 6377 and 6384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6377 and 6384 the smallest integer that is 5815824 that is divisible by both numbers.

Least Common Multiple (LCM) of 6377 and 6384 is 5815824.

LCM(6377,6384) = 5815824

LCM of 6377 and 6384

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

LCM of:
and

Least Common Multiple of 6377 and 6384

LCM of 6377 and 6384 is 5815824

Least common multiple can be found by multiplying the highest exponent prime factors of 6377 and 6384. First we will calculate the prime factors of 6377 and 6384.

Prime Factorization of 6377


7 6377
911 911
1

Prime factors of 6377 are 7,911. Prime factorization of 6377 in exponential form is:

6377 = 71×9111

Prime Factorization of 6384


2 6384
2 3192
2 1596
2 798
3 399
7 133
19 19
1

Prime factors of 6384 are 2, 3, 7,19. Prime factorization of 6384 in exponential form is:

6384 = 24×31×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 6377 and 6384.

LCM(6377,6384) = 24×31×71×191×9111
LCM(6377,6384) = 5815824

Factors of 6377

List of positive integer factors of 6377 that divides 6377 without a remainder.

1, 7, 911, 6377

Factors of 6384

List of positive integer factors of 6384 that divides 6384 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 38, 42, 48, 56, 57, 76, 84, 112, 114, 133, 152, 168, 228, 266, 304, 336, 399, 456, 532, 798, 912, 1064, 1596, 2128, 3192, 6384

Least Common Multiple of 6377 and 6384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6377 and 6384, than apply into the LCM equation.

GCF(6377,6384) = 7
LCM(6377,6384) = ( 6377 × 6384) / 7
LCM(6377,6384) = 40710768 / 7
LCM(6377,6384) = 5815824

Properties of LCM 6377 and 6384

(i) The LCM of 6384 and 6377 is associative

LCM of 6377 and 6384 = LCM of 6384 and 6377

Related Least Common Multiples of 6377

Related Least Common Multiples of 6384

Frequently Asked Questions on LCM of 6377 and 6384

1. What is the LCM of 6377 and 6384?

Answer: LCM of 6377 and 6384 is 5815824.

2. What are the Factors of 6377?

Answer: Factors of 6377 are 1, 7, 911, 6377. There are 4 integers that are factors of 6377. The greatest factor of 6377 is 6377.

3. What are the Factors of 6384?

Answer: Factors of 6384 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 38, 42, 48, 56, 57, 76, 84, 112, 114, 133, 152, 168, 228, 266, 304, 336, 399, 456, 532, 798, 912, 1064, 1596, 2128, 3192, 6384. There are 40 integers that are factors of 6384. The greatest factor of 6384 is 6384.

4. How to Find the LCM of 6377 and 6384?

Answer:

Least Common Multiple of 6377 and 6384 = 5815824

Step 1: Find the prime factorization of 6377

6377 = 7 x 911

Step 2: Find the prime factorization of 6384

6384 = 2 x 2 x 2 x 2 x 3 x 7 x 19

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

LCM = 5815824 = 2 x 2 x 2 x 2 x 3 x 7 x 19 x 911

Step 4: Therefore, the least common multiple of 6377 and 6384 is 5815824.