Least Common Multiple of 6368 and 6376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6368 and 6376 the smallest integer that is 5075296 that is divisible by both numbers.

Least Common Multiple (LCM) of 6368 and 6376 is 5075296.

LCM(6368,6376) = 5075296

LCM of 6368 and 6376

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

LCM of:
and

Least Common Multiple of 6368 and 6376

LCM of 6368 and 6376 is 5075296

Least common multiple can be found by multiplying the highest exponent prime factors of 6368 and 6376. First we will calculate the prime factors of 6368 and 6376.

Prime Factorization of 6368


2 6368
2 3184
2 1592
2 796
2 398
199 199
1

Prime factors of 6368 are 2,199. Prime factorization of 6368 in exponential form is:

6368 = 25×1991

Prime Factorization of 6376


2 6376
2 3188
2 1594
797 797
1

Prime factors of 6376 are 2,797. Prime factorization of 6376 in exponential form is:

6376 = 23×7971

Now multiplying the highest exponent prime factors to calculate the LCM of 6368 and 6376.

LCM(6368,6376) = 25×1991×7971
LCM(6368,6376) = 5075296

Factors of 6368

List of positive integer factors of 6368 that divides 6368 without a remainder.

1, 2, 4, 8, 16, 32, 199, 398, 796, 1592, 3184, 6368

Factors of 6376

List of positive integer factors of 6376 that divides 6376 without a remainder.

1, 2, 4, 8, 797, 1594, 3188, 6376

Least Common Multiple of 6368 and 6376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6368 and 6376, than apply into the LCM equation.

GCF(6368,6376) = 8
LCM(6368,6376) = ( 6368 × 6376) / 8
LCM(6368,6376) = 40602368 / 8
LCM(6368,6376) = 5075296

Properties of LCM 6368 and 6376

(i) The LCM of 6376 and 6368 is associative

LCM of 6368 and 6376 = LCM of 6376 and 6368

Related Least Common Multiples of 6368

Related Least Common Multiples of 6376

Frequently Asked Questions on LCM of 6368 and 6376

1. What is the LCM of 6368 and 6376?

Answer: LCM of 6368 and 6376 is 5075296.

2. What are the Factors of 6368?

Answer: Factors of 6368 are 1, 2, 4, 8, 16, 32, 199, 398, 796, 1592, 3184, 6368. There are 12 integers that are factors of 6368. The greatest factor of 6368 is 6368.

3. What are the Factors of 6376?

Answer: Factors of 6376 are 1, 2, 4, 8, 797, 1594, 3188, 6376. There are 8 integers that are factors of 6376. The greatest factor of 6376 is 6376.

4. How to Find the LCM of 6368 and 6376?

Answer:

Least Common Multiple of 6368 and 6376 = 5075296

Step 1: Find the prime factorization of 6368

6368 = 2 x 2 x 2 x 2 x 2 x 199

Step 2: Find the prime factorization of 6376

6376 = 2 x 2 x 2 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 = 5075296 = 2 x 2 x 2 x 2 x 2 x 199 x 797

Step 4: Therefore, the least common multiple of 6368 and 6376 is 5075296.