Least Common Multiple of 6364 and 6368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6364 and 6368 the smallest integer that is 10131488 that is divisible by both numbers.

Least Common Multiple (LCM) of 6364 and 6368 is 10131488.

LCM(6364,6368) = 10131488

LCM of 6364 and 6368

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

LCM of:
and

Least Common Multiple of 6364 and 6368

LCM of 6364 and 6368 is 10131488

Least common multiple can be found by multiplying the highest exponent prime factors of 6364 and 6368. First we will calculate the prime factors of 6364 and 6368.

Prime Factorization of 6364


2 6364
2 3182
37 1591
43 43
1

Prime factors of 6364 are 2, 37,43. Prime factorization of 6364 in exponential form is:

6364 = 22×371×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6364 and 6368.

LCM(6364,6368) = 25×371×431×1991
LCM(6364,6368) = 10131488

Factors of 6364

List of positive integer factors of 6364 that divides 6364 without a remainder.

1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364

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

Least Common Multiple of 6364 and 6368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6364 and 6368, than apply into the LCM equation.

GCF(6364,6368) = 4
LCM(6364,6368) = ( 6364 × 6368) / 4
LCM(6364,6368) = 40525952 / 4
LCM(6364,6368) = 10131488

Properties of LCM 6364 and 6368

(i) The LCM of 6368 and 6364 is associative

LCM of 6364 and 6368 = LCM of 6368 and 6364

Related Least Common Multiples of 6364

Related Least Common Multiples of 6368

Frequently Asked Questions on LCM of 6364 and 6368

1. What is the LCM of 6364 and 6368?

Answer: LCM of 6364 and 6368 is 10131488.

2. What are the Factors of 6364?

Answer: Factors of 6364 are 1, 2, 4, 37, 43, 74, 86, 148, 172, 1591, 3182, 6364. There are 12 integers that are factors of 6364. The greatest factor of 6364 is 6364.

3. 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.

4. How to Find the LCM of 6364 and 6368?

Answer:

Least Common Multiple of 6364 and 6368 = 10131488

Step 1: Find the prime factorization of 6364

6364 = 2 x 2 x 37 x 43

Step 2: Find the prime factorization of 6368

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

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

LCM = 10131488 = 2 x 2 x 2 x 2 x 2 x 37 x 43 x 199

Step 4: Therefore, the least common multiple of 6364 and 6368 is 10131488.